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Finding the Fourth Proportional to 22,502.56, 31,052.88 and 12,431.20

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Solution

The fourth proportional to 22,502.56, 31,052.88 and 12,431.20 is: 17,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.56 : 31,052.88 = 12,431.20 : x
  2. Step 2: Convert to fraction form
    22,502.56/31,052.88 = 12,431.20/x
  3. Step 3: Cross multiply
    22,502.56x = 31,052.88 × 12,431.20
  4. Step 4: Simplify right side
    22,502.56x = 386,024,561.86
  5. Step 5: Solve for x
    x = 386,024,561.86/22,502.56
  6. Step 6: Final answer
    x = 17,154.70

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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.