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Finding the Fourth Proportional to 13,446.52, 18,545.70 and 9,200.11

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Solution

The fourth proportional to 13,446.52, 18,545.70 and 9,200.11 is: 12,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.52 : 18,545.70 = 9,200.11 : x
  2. Step 2: Convert to fraction form
    13,446.52/18,545.70 = 9,200.11/x
  3. Step 3: Cross multiply
    13,446.52x = 18,545.70 × 9,200.11
  4. Step 4: Simplify right side
    13,446.52x = 170,622,480.03
  5. Step 5: Solve for x
    x = 170,622,480.03/13,446.52
  6. Step 6: Final answer
    x = 12,688.97

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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.