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Finding the Fourth Proportional to 17,542.77, 24,210.66 and 9,586.17

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Solution

The fourth proportional to 17,542.77, 24,210.66 and 9,586.17 is: 13,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.77 : 24,210.66 = 9,586.17 : x
  2. Step 2: Convert to fraction form
    17,542.77/24,210.66 = 9,586.17/x
  3. Step 3: Cross multiply
    17,542.77x = 24,210.66 × 9,586.17
  4. Step 4: Simplify right side
    17,542.77x = 232,087,502.57
  5. Step 5: Solve for x
    x = 232,087,502.57/17,542.77
  6. Step 6: Final answer
    x = 13,229.81

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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.