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Finding the Fourth Proportional to 17,497.81, 24,147.48 and 9,540.17

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Solution

The fourth proportional to 17,497.81, 24,147.48 and 9,540.17 is: 13,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.81 : 24,147.48 = 9,540.17 : x
  2. Step 2: Convert to fraction form
    17,497.81/24,147.48 = 9,540.17/x
  3. Step 3: Cross multiply
    17,497.81x = 24,147.48 × 9,540.17
  4. Step 4: Simplify right side
    17,497.81x = 230,371,064.27
  5. Step 5: Solve for x
    x = 230,371,064.27/17,497.81
  6. Step 6: Final answer
    x = 13,165.71

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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.