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Finding the Fourth Proportional to 10,674.52, 16,082.95 and 9,635.70

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Solution

The fourth proportional to 10,674.52, 16,082.95 and 9,635.70 is: 14,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.52 : 16,082.95 = 9,635.70 : x
  2. Step 2: Convert to fraction form
    10,674.52/16,082.95 = 9,635.70/x
  3. Step 3: Cross multiply
    10,674.52x = 16,082.95 × 9,635.70
  4. Step 4: Simplify right side
    10,674.52x = 154,970,481.32
  5. Step 5: Solve for x
    x = 154,970,481.32/10,674.52
  6. Step 6: Final answer
    x = 14,517.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.