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Finding the Fourth Proportional to 15,633.32, 23,452.64 and 5,772.65

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Solution

The fourth proportional to 15,633.32, 23,452.64 and 5,772.65 is: 8,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.32 : 23,452.64 = 5,772.65 : x
  2. Step 2: Convert to fraction form
    15,633.32/23,452.64 = 5,772.65/x
  3. Step 3: Cross multiply
    15,633.32x = 23,452.64 × 5,772.65
  4. Step 4: Simplify right side
    15,633.32x = 135,383,736.17
  5. Step 5: Solve for x
    x = 135,383,736.17/15,633.32
  6. Step 6: Final answer
    x = 8,659.95

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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.