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Finding the Fourth Proportional to 17,498.48, 24,147.18 and 9,540.53

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Solution

The fourth proportional to 17,498.48, 24,147.18 and 9,540.53 is: 13,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.48 : 24,147.18 = 9,540.53 : x
  2. Step 2: Convert to fraction form
    17,498.48/24,147.18 = 9,540.53/x
  3. Step 3: Cross multiply
    17,498.48x = 24,147.18 × 9,540.53
  4. Step 4: Simplify right side
    17,498.48x = 230,376,865.02
  5. Step 5: Solve for x
    x = 230,376,865.02/17,498.48
  6. Step 6: Final answer
    x = 13,165.54

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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.