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Finding the Fourth Proportional to 20,225.76, 30,340.20 and 9,138.66

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Solution

The fourth proportional to 20,225.76, 30,340.20 and 9,138.66 is: 13,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.76 : 30,340.20 = 9,138.66 : x
  2. Step 2: Convert to fraction form
    20,225.76/30,340.20 = 9,138.66/x
  3. Step 3: Cross multiply
    20,225.76x = 30,340.20 × 9,138.66
  4. Step 4: Simplify right side
    20,225.76x = 277,268,772.13
  5. Step 5: Solve for x
    x = 277,268,772.13/20,225.76
  6. Step 6: Final answer
    x = 13,708.69

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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.