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Finding the Fourth Proportional to 10,305.56, 15,414.98 and 9,557.73

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Solution

The fourth proportional to 10,305.56, 15,414.98 and 9,557.73 is: 14,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.56 : 15,414.98 = 9,557.73 : x
  2. Step 2: Convert to fraction form
    10,305.56/15,414.98 = 9,557.73/x
  3. Step 3: Cross multiply
    10,305.56x = 15,414.98 × 9,557.73
  4. Step 4: Simplify right side
    10,305.56x = 147,332,169.01
  5. Step 5: Solve for x
    x = 147,332,169.01/10,305.56
  6. Step 6: Final answer
    x = 14,296.37

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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.