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Finding the Fourth Proportional to 22,408.50, 30,923.39 and 13,340.19

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Solution

The fourth proportional to 22,408.50, 30,923.39 and 13,340.19 is: 18,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.50 : 30,923.39 = 13,340.19 : x
  2. Step 2: Convert to fraction form
    22,408.50/30,923.39 = 13,340.19/x
  3. Step 3: Cross multiply
    22,408.50x = 30,923.39 × 13,340.19
  4. Step 4: Simplify right side
    22,408.50x = 412,523,831.34
  5. Step 5: Solve for x
    x = 412,523,831.34/22,408.50
  6. Step 6: Final answer
    x = 18,409.26

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Half scale
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Double scale
Find fourth proportional to 22,409.50, 30,924.76 and 13,341.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.