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Finding the Fourth Proportional to 22,545.96, 31,099.86 and 16,593

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Solution

The fourth proportional to 22,545.96, 31,099.86 and 16,593 is: 22,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.96 : 31,099.86 = 16,593 : x
  2. Step 2: Convert to fraction form
    22,545.96/31,099.86 = 16,593/x
  3. Step 3: Cross multiply
    22,545.96x = 31,099.86 × 16,593
  4. Step 4: Simplify right side
    22,545.96x = 516,039,976.98
  5. Step 5: Solve for x
    x = 516,039,976.98/22,545.96
  6. Step 6: Final answer
    x = 22,888.36

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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.