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Finding the Fourth Proportional to 20,488.32, 30,722.76 and 10,617.66

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Solution

The fourth proportional to 20,488.32, 30,722.76 and 10,617.66 is: 15,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.32 : 30,722.76 = 10,617.66 : x
  2. Step 2: Convert to fraction form
    20,488.32/30,722.76 = 10,617.66/x
  3. Step 3: Cross multiply
    20,488.32x = 30,722.76 × 10,617.66
  4. Step 4: Simplify right side
    20,488.32x = 326,203,819.94
  5. Step 5: Solve for x
    x = 326,203,819.94/20,488.32
  6. Step 6: Final answer
    x = 15,921.45

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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.