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Finding the Fourth Proportional to 20,516.31, 30,767.18 and 6,472.13

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Solution

The fourth proportional to 20,516.31, 30,767.18 and 6,472.13 is: 9,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.31 : 30,767.18 = 6,472.13 : x
  2. Step 2: Convert to fraction form
    20,516.31/30,767.18 = 6,472.13/x
  3. Step 3: Cross multiply
    20,516.31x = 30,767.18 × 6,472.13
  4. Step 4: Simplify right side
    20,516.31x = 199,129,002.50
  5. Step 5: Solve for x
    x = 199,129,002.50/20,516.31
  6. Step 6: Final answer
    x = 9,705.89

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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.