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Finding the Fourth Proportional to 12,535.28, 17,298.02 and 7,229.78

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Solution

The fourth proportional to 12,535.28, 17,298.02 and 7,229.78 is: 9,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.28 : 17,298.02 = 7,229.78 : x
  2. Step 2: Convert to fraction form
    12,535.28/17,298.02 = 7,229.78/x
  3. Step 3: Cross multiply
    12,535.28x = 17,298.02 × 7,229.78
  4. Step 4: Simplify right side
    12,535.28x = 125,060,879.04
  5. Step 5: Solve for x
    x = 125,060,879.04/12,535.28
  6. Step 6: Final answer
    x = 9,976.71

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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.