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Finding the Fourth Proportional to 20,874.69, 31,312.17 and 5,292.33

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Solution

The fourth proportional to 20,874.69, 31,312.17 and 5,292.33 is: 7,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.69 : 31,312.17 = 5,292.33 : x
  2. Step 2: Convert to fraction form
    20,874.69/31,312.17 = 5,292.33/x
  3. Step 3: Cross multiply
    20,874.69x = 31,312.17 × 5,292.33
  4. Step 4: Simplify right side
    20,874.69x = 165,714,336.66
  5. Step 5: Solve for x
    x = 165,714,336.66/20,874.69
  6. Step 6: Final answer
    x = 7,938.53

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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.