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Finding the Fourth Proportional to 16,588.38, 24,882.56 and 4,276.38

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Solution

The fourth proportional to 16,588.38, 24,882.56 and 4,276.38 is: 6,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.38 : 24,882.56 = 4,276.38 : x
  2. Step 2: Convert to fraction form
    16,588.38/24,882.56 = 4,276.38/x
  3. Step 3: Cross multiply
    16,588.38x = 24,882.56 × 4,276.38
  4. Step 4: Simplify right side
    16,588.38x = 106,407,168.21
  5. Step 5: Solve for x
    x = 106,407,168.21/16,588.38
  6. Step 6: Final answer
    x = 6,414.56

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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.