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Finding the Fourth Proportional to 17,446.82, 24,077.25 and 9,685.85

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Solution

The fourth proportional to 17,446.82, 24,077.25 and 9,685.85 is: 13,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.82 : 24,077.25 = 9,685.85 : x
  2. Step 2: Convert to fraction form
    17,446.82/24,077.25 = 9,685.85/x
  3. Step 3: Cross multiply
    17,446.82x = 24,077.25 × 9,685.85
  4. Step 4: Simplify right side
    17,446.82x = 233,208,511.53
  5. Step 5: Solve for x
    x = 233,208,511.53/17,446.82
  6. Step 6: Final answer
    x = 13,366.82

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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.