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Finding the Fourth Proportional to 20,127.72, 30,193.92 and 9,732

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Solution

The fourth proportional to 20,127.72, 30,193.92 and 9,732 is: 14,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.72 : 30,193.92 = 9,732 : x
  2. Step 2: Convert to fraction form
    20,127.72/30,193.92 = 9,732/x
  3. Step 3: Cross multiply
    20,127.72x = 30,193.92 × 9,732
  4. Step 4: Simplify right side
    20,127.72x = 293,847,229.44
  5. Step 5: Solve for x
    x = 293,847,229.44/20,127.72
  6. Step 6: Final answer
    x = 14,599.13

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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.