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Finding the Fourth Proportional to 20,138.96, 27,722.76 and 17,470.64

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Solution

The fourth proportional to 20,138.96, 27,722.76 and 17,470.64 is: 24,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.96 : 27,722.76 = 17,470.64 : x
  2. Step 2: Convert to fraction form
    20,138.96/27,722.76 = 17,470.64/x
  3. Step 3: Cross multiply
    20,138.96x = 27,722.76 × 17,470.64
  4. Step 4: Simplify right side
    20,138.96x = 484,334,359.77
  5. Step 5: Solve for x
    x = 484,334,359.77/20,138.96
  6. Step 6: Final answer
    x = 24,049.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.