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Finding the Fourth Proportional to 20,751.70, 31,133.52 and 10,224.88

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Solution

The fourth proportional to 20,751.70, 31,133.52 and 10,224.88 is: 15,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.70 : 31,133.52 = 10,224.88 : x
  2. Step 2: Convert to fraction form
    20,751.70/31,133.52 = 10,224.88/x
  3. Step 3: Cross multiply
    20,751.70x = 31,133.52 × 10,224.88
  4. Step 4: Simplify right side
    20,751.70x = 318,336,500.68
  5. Step 5: Solve for x
    x = 318,336,500.68/20,751.70
  6. Step 6: Final answer
    x = 15,340.26

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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.