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Finding the Fourth Proportional to 22,545.09, 31,114.17 and 13,113

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Solution

The fourth proportional to 22,545.09, 31,114.17 and 13,113 is: 18,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.09 : 31,114.17 = 13,113 : x
  2. Step 2: Convert to fraction form
    22,545.09/31,114.17 = 13,113/x
  3. Step 3: Cross multiply
    22,545.09x = 31,114.17 × 13,113
  4. Step 4: Simplify right side
    22,545.09x = 408,000,111.21
  5. Step 5: Solve for x
    x = 408,000,111.21/22,545.09
  6. Step 6: Final answer
    x = 18,097.07

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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.