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Finding the Fourth Proportional to 17,475.78, 24,116.49 and 9,517.86

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Solution

The fourth proportional to 17,475.78, 24,116.49 and 9,517.86 is: 13,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.78 : 24,116.49 = 9,517.86 : x
  2. Step 2: Convert to fraction form
    17,475.78/24,116.49 = 9,517.86/x
  3. Step 3: Cross multiply
    17,475.78x = 24,116.49 × 9,517.86
  4. Step 4: Simplify right side
    17,475.78x = 229,537,375.51
  5. Step 5: Solve for x
    x = 229,537,375.51/17,475.78
  6. Step 6: Final answer
    x = 13,134.60

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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.