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Finding the Fourth Proportional to 29,286.66, 43,932.69 and 9,565.32

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Solution

The fourth proportional to 29,286.66, 43,932.69 and 9,565.32 is: 14,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.66 : 43,932.69 = 9,565.32 : x
  2. Step 2: Convert to fraction form
    29,286.66/43,932.69 = 9,565.32/x
  3. Step 3: Cross multiply
    29,286.66x = 43,932.69 × 9,565.32
  4. Step 4: Simplify right side
    29,286.66x = 420,230,238.31
  5. Step 5: Solve for x
    x = 420,230,238.31/29,286.66
  6. Step 6: Final answer
    x = 14,348.86

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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.