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Finding the Fourth Proportional to 24,697.73, 34,082.20 and 14,087.14

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Solution

The fourth proportional to 24,697.73, 34,082.20 and 14,087.14 is: 19,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.73 : 34,082.20 = 14,087.14 : x
  2. Step 2: Convert to fraction form
    24,697.73/34,082.20 = 14,087.14/x
  3. Step 3: Cross multiply
    24,697.73x = 34,082.20 × 14,087.14
  4. Step 4: Simplify right side
    24,697.73x = 480,120,722.91
  5. Step 5: Solve for x
    x = 480,120,722.91/24,697.73
  6. Step 6: Final answer
    x = 19,439.87

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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.