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Finding the Fourth Proportional to 22,296.21, 30,769.11 and 12,225.21

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Solution

The fourth proportional to 22,296.21, 30,769.11 and 12,225.21 is: 16,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.21 : 30,769.11 = 12,225.21 : x
  2. Step 2: Convert to fraction form
    22,296.21/30,769.11 = 12,225.21/x
  3. Step 3: Cross multiply
    22,296.21x = 30,769.11 × 12,225.21
  4. Step 4: Simplify right side
    22,296.21x = 376,158,831.26
  5. Step 5: Solve for x
    x = 376,158,831.26/22,296.21
  6. Step 6: Final answer
    x = 16,870.98

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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.