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Finding the Fourth Proportional to 20,920.40, 31,380.85 and 6,129.61

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Solution

The fourth proportional to 20,920.40, 31,380.85 and 6,129.61 is: 9,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.40 : 31,380.85 = 6,129.61 : x
  2. Step 2: Convert to fraction form
    20,920.40/31,380.85 = 6,129.61/x
  3. Step 3: Cross multiply
    20,920.40x = 31,380.85 × 6,129.61
  4. Step 4: Simplify right side
    20,920.40x = 192,352,420.64
  5. Step 5: Solve for x
    x = 192,352,420.64/20,920.40
  6. Step 6: Final answer
    x = 9,194.49

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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.