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Finding the Fourth Proportional to 20,765.40, 31,129.57 and 7,614.70

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Solution

The fourth proportional to 20,765.40, 31,129.57 and 7,614.70 is: 11,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.40 : 31,129.57 = 7,614.70 : x
  2. Step 2: Convert to fraction form
    20,765.40/31,129.57 = 7,614.70/x
  3. Step 3: Cross multiply
    20,765.40x = 31,129.57 × 7,614.70
  4. Step 4: Simplify right side
    20,765.40x = 237,042,336.68
  5. Step 5: Solve for x
    x = 237,042,336.68/20,765.40
  6. Step 6: Final answer
    x = 11,415.26

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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.