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Finding the Fourth Proportional to 15,229.16, 22,840.58 and 5,865.96

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Solution

The fourth proportional to 15,229.16, 22,840.58 and 5,865.96 is: 8,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.16 : 22,840.58 = 5,865.96 : x
  2. Step 2: Convert to fraction form
    15,229.16/22,840.58 = 5,865.96/x
  3. Step 3: Cross multiply
    15,229.16x = 22,840.58 × 5,865.96
  4. Step 4: Simplify right side
    15,229.16x = 133,981,899.33
  5. Step 5: Solve for x
    x = 133,981,899.33/15,229.16
  6. Step 6: Final answer
    x = 8,797.72

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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.