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Finding the Fourth Proportional to 17,287.41, 23,854.87 and 9,732.54

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Solution

The fourth proportional to 17,287.41, 23,854.87 and 9,732.54 is: 13,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.41 : 23,854.87 = 9,732.54 : x
  2. Step 2: Convert to fraction form
    17,287.41/23,854.87 = 9,732.54/x
  3. Step 3: Cross multiply
    17,287.41x = 23,854.87 × 9,732.54
  4. Step 4: Simplify right side
    17,287.41x = 232,168,476.47
  5. Step 5: Solve for x
    x = 232,168,476.47/17,287.41
  6. Step 6: Final answer
    x = 13,429.92

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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.