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Finding the Fourth Proportional to 16,576.38, 24,862.14 and 5,481

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Solution

The fourth proportional to 16,576.38, 24,862.14 and 5,481 is: 8,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.38 : 24,862.14 = 5,481 : x
  2. Step 2: Convert to fraction form
    16,576.38/24,862.14 = 5,481/x
  3. Step 3: Cross multiply
    16,576.38x = 24,862.14 × 5,481
  4. Step 4: Simplify right side
    16,576.38x = 136,269,389.34
  5. Step 5: Solve for x
    x = 136,269,389.34/16,576.38
  6. Step 6: Final answer
    x = 8,220.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.