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Finding the Fourth Proportional to 12,747.42, 17,591.32 and 7,082.17

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Solution

The fourth proportional to 12,747.42, 17,591.32 and 7,082.17 is: 9,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.42 : 17,591.32 = 7,082.17 : x
  2. Step 2: Convert to fraction form
    12,747.42/17,591.32 = 7,082.17/x
  3. Step 3: Cross multiply
    12,747.42x = 17,591.32 × 7,082.17
  4. Step 4: Simplify right side
    12,747.42x = 124,584,683.35
  5. Step 5: Solve for x
    x = 124,584,683.35/12,747.42
  6. Step 6: Final answer
    x = 9,773.33

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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.