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Finding the Fourth Proportional to 16,576.38, 22,876.43 and 9,503.87

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Solution

The fourth proportional to 16,576.38, 22,876.43 and 9,503.87 is: 13,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.38 : 22,876.43 = 9,503.87 : x
  2. Step 2: Convert to fraction form
    16,576.38/22,876.43 = 9,503.87/x
  3. Step 3: Cross multiply
    16,576.38x = 22,876.43 × 9,503.87
  4. Step 4: Simplify right side
    16,576.38x = 217,414,454.88
  5. Step 5: Solve for x
    x = 217,414,454.88/16,576.38
  6. Step 6: Final answer
    x = 13,115.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.