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Finding the Fourth Proportional to 12,414.30, 17,129.95 and 7,306.78

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Solution

The fourth proportional to 12,414.30, 17,129.95 and 7,306.78 is: 10,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.30 : 17,129.95 = 7,306.78 : x
  2. Step 2: Convert to fraction form
    12,414.30/17,129.95 = 7,306.78/x
  3. Step 3: Cross multiply
    12,414.30x = 17,129.95 × 7,306.78
  4. Step 4: Simplify right side
    12,414.30x = 125,164,653.88
  5. Step 5: Solve for x
    x = 125,164,653.88/12,414.30
  6. Step 6: Final answer
    x = 10,082.30

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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.