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Finding the Fourth Proportional to 17,766.24, 24,517.68 and 9,809.16

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Solution

The fourth proportional to 17,766.24, 24,517.68 and 9,809.16 is: 13,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.24 : 24,517.68 = 9,809.16 : x
  2. Step 2: Convert to fraction form
    17,766.24/24,517.68 = 9,809.16/x
  3. Step 3: Cross multiply
    17,766.24x = 24,517.68 × 9,809.16
  4. Step 4: Simplify right side
    17,766.24x = 240,497,845.95
  5. Step 5: Solve for x
    x = 240,497,845.95/17,766.24
  6. Step 6: Final answer
    x = 13,536.79

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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.