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Finding the Fourth Proportional to 17,498.27, 24,147.86 and 9,540.50

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Solution

The fourth proportional to 17,498.27, 24,147.86 and 9,540.50 is: 13,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.27 : 24,147.86 = 9,540.50 : x
  2. Step 2: Convert to fraction form
    17,498.27/24,147.86 = 9,540.50/x
  3. Step 3: Cross multiply
    17,498.27x = 24,147.86 × 9,540.50
  4. Step 4: Simplify right side
    17,498.27x = 230,382,489.89
  5. Step 5: Solve for x
    x = 230,382,489.89/17,498.27
  6. Step 6: Final answer
    x = 13,166.02

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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.