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Finding the Fourth Proportional to 17,498.29, 24,147.90 and 9,540.64

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Solution

The fourth proportional to 17,498.29, 24,147.90 and 9,540.64 is: 13,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.29 : 24,147.90 = 9,540.64 : x
  2. Step 2: Convert to fraction form
    17,498.29/24,147.90 = 9,540.64/x
  3. Step 3: Cross multiply
    17,498.29x = 24,147.90 × 9,540.64
  4. Step 4: Simplify right side
    17,498.29x = 230,386,420.66
  5. Step 5: Solve for x
    x = 230,386,420.66/17,498.29
  6. Step 6: Final answer
    x = 13,166.22

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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.