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Finding the Fourth Proportional to 22,561, 31,129.86 and 14,602.12

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Solution

The fourth proportional to 22,561, 31,129.86 and 14,602.12 is: 20,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561 : 31,129.86 = 14,602.12 : x
  2. Step 2: Convert to fraction form
    22,561/31,129.86 = 14,602.12/x
  3. Step 3: Cross multiply
    22,561x = 31,129.86 × 14,602.12
  4. Step 4: Simplify right side
    22,561x = 454,561,951.30
  5. Step 5: Solve for x
    x = 454,561,951.30/22,561
  6. Step 6: Final answer
    x = 20,148.13

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