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Finding the Fourth Proportional to 13,585.82, 18,737.79 and 9,108.14

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Solution

The fourth proportional to 13,585.82, 18,737.79 and 9,108.14 is: 12,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.82 : 18,737.79 = 9,108.14 : x
  2. Step 2: Convert to fraction form
    13,585.82/18,737.79 = 9,108.14/x
  3. Step 3: Cross multiply
    13,585.82x = 18,737.79 × 9,108.14
  4. Step 4: Simplify right side
    13,585.82x = 170,666,414.61
  5. Step 5: Solve for x
    x = 170,666,414.61/13,585.82
  6. Step 6: Final answer
    x = 12,562.10

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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.