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Finding the Fourth Proportional to 20,102.61, 30,149.13 and 8,253.21

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Solution

The fourth proportional to 20,102.61, 30,149.13 and 8,253.21 is: 12,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.61 : 30,149.13 = 8,253.21 : x
  2. Step 2: Convert to fraction form
    20,102.61/30,149.13 = 8,253.21/x
  3. Step 3: Cross multiply
    20,102.61x = 30,149.13 × 8,253.21
  4. Step 4: Simplify right side
    20,102.61x = 248,827,101.21
  5. Step 5: Solve for x
    x = 248,827,101.21/20,102.61
  6. Step 6: Final answer
    x = 12,377.85

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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.