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Finding the Fourth Proportional to 22,864.56, 31,553.04 and 13,438.56

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Solution

The fourth proportional to 22,864.56, 31,553.04 and 13,438.56 is: 18,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.56 : 31,553.04 = 13,438.56 : x
  2. Step 2: Convert to fraction form
    22,864.56/31,553.04 = 13,438.56/x
  3. Step 3: Cross multiply
    22,864.56x = 31,553.04 × 13,438.56
  4. Step 4: Simplify right side
    22,864.56x = 424,027,421.22
  5. Step 5: Solve for x
    x = 424,027,421.22/22,864.56
  6. Step 6: Final answer
    x = 18,545.18

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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.