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Finding the Fourth Proportional to 24,501, 33,811.62 and 13,323.24

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Solution

The fourth proportional to 24,501, 33,811.62 and 13,323.24 is: 18,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501 : 33,811.62 = 13,323.24 : x
  2. Step 2: Convert to fraction form
    24,501/33,811.62 = 13,323.24/x
  3. Step 3: Cross multiply
    24,501x = 33,811.62 × 13,323.24
  4. Step 4: Simplify right side
    24,501x = 450,480,328.05
  5. Step 5: Solve for x
    x = 450,480,328.05/24,501
  6. Step 6: Final answer
    x = 18,386.20

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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.