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Finding the Fourth Proportional to 13,502.24, 18,634.99 and 9,737.87

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Solution

The fourth proportional to 13,502.24, 18,634.99 and 9,737.87 is: 13,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.24 : 18,634.99 = 9,737.87 : x
  2. Step 2: Convert to fraction form
    13,502.24/18,634.99 = 9,737.87/x
  3. Step 3: Cross multiply
    13,502.24x = 18,634.99 × 9,737.87
  4. Step 4: Simplify right side
    13,502.24x = 181,465,088.24
  5. Step 5: Solve for x
    x = 181,465,088.24/13,502.24
  6. Step 6: Final answer
    x = 13,439.62

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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.