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Finding the Fourth Proportional to 17,617.71, 24,320.04 and 10,542.75

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Solution

The fourth proportional to 17,617.71, 24,320.04 and 10,542.75 is: 14,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.71 : 24,320.04 = 10,542.75 : x
  2. Step 2: Convert to fraction form
    17,617.71/24,320.04 = 10,542.75/x
  3. Step 3: Cross multiply
    17,617.71x = 24,320.04 × 10,542.75
  4. Step 4: Simplify right side
    17,617.71x = 256,400,101.71
  5. Step 5: Solve for x
    x = 256,400,101.71/17,617.71
  6. Step 6: Final answer
    x = 14,553.54

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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.