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Finding the Fourth Proportional to 16,820.38, 25,230.57 and 5,728.24

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Solution

The fourth proportional to 16,820.38, 25,230.57 and 5,728.24 is: 8,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.38 : 25,230.57 = 5,728.24 : x
  2. Step 2: Convert to fraction form
    16,820.38/25,230.57 = 5,728.24/x
  3. Step 3: Cross multiply
    16,820.38x = 25,230.57 × 5,728.24
  4. Step 4: Simplify right side
    16,820.38x = 144,526,760.30
  5. Step 5: Solve for x
    x = 144,526,760.30/16,820.38
  6. Step 6: Final answer
    x = 8,592.36

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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.