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Finding the Fourth Proportional to 17,643.72, 24,348.96 and 9,686.55

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Solution

The fourth proportional to 17,643.72, 24,348.96 and 9,686.55 is: 13,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.72 : 24,348.96 = 9,686.55 : x
  2. Step 2: Convert to fraction form
    17,643.72/24,348.96 = 9,686.55/x
  3. Step 3: Cross multiply
    17,643.72x = 24,348.96 × 9,686.55
  4. Step 4: Simplify right side
    17,643.72x = 235,857,418.49
  5. Step 5: Solve for x
    x = 235,857,418.49/17,643.72
  6. Step 6: Final answer
    x = 13,367.78

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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.