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Finding the Fourth Proportional to 17,498.42, 24,147.92 and 9,540.77

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Solution

The fourth proportional to 17,498.42, 24,147.92 and 9,540.77 is: 13,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.42 : 24,147.92 = 9,540.77 : x
  2. Step 2: Convert to fraction form
    17,498.42/24,147.92 = 9,540.77/x
  3. Step 3: Cross multiply
    17,498.42x = 24,147.92 × 9,540.77
  4. Step 4: Simplify right side
    17,498.42x = 230,389,582.25
  5. Step 5: Solve for x
    x = 230,389,582.25/17,498.42
  6. Step 6: Final answer
    x = 13,166.31

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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.