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Finding the Fourth Proportional to 12,082.30, 18,139.65 and 7,708.30

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Solution

The fourth proportional to 12,082.30, 18,139.65 and 7,708.30 is: 11,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.30 : 18,139.65 = 7,708.30 : x
  2. Step 2: Convert to fraction form
    12,082.30/18,139.65 = 7,708.30/x
  3. Step 3: Cross multiply
    12,082.30x = 18,139.65 × 7,708.30
  4. Step 4: Simplify right side
    12,082.30x = 139,825,864.10
  5. Step 5: Solve for x
    x = 139,825,864.10/12,082.30
  6. Step 6: Final answer
    x = 11,572.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.