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Finding the Fourth Proportional to 20,032.12, 30,044.76 and 8,342.20

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Solution

The fourth proportional to 20,032.12, 30,044.76 and 8,342.20 is: 12,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.12 : 30,044.76 = 8,342.20 : x
  2. Step 2: Convert to fraction form
    20,032.12/30,044.76 = 8,342.20/x
  3. Step 3: Cross multiply
    20,032.12x = 30,044.76 × 8,342.20
  4. Step 4: Simplify right side
    20,032.12x = 250,639,396.87
  5. Step 5: Solve for x
    x = 250,639,396.87/20,032.12
  6. Step 6: Final answer
    x = 12,511.88

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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.