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Finding the Fourth Proportional to 20,841.88, 31,321.14 and 10,460.92

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Solution

The fourth proportional to 20,841.88, 31,321.14 and 10,460.92 is: 15,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.88 : 31,321.14 = 10,460.92 : x
  2. Step 2: Convert to fraction form
    20,841.88/31,321.14 = 10,460.92/x
  3. Step 3: Cross multiply
    20,841.88x = 31,321.14 × 10,460.92
  4. Step 4: Simplify right side
    20,841.88x = 327,647,939.85
  5. Step 5: Solve for x
    x = 327,647,939.85/20,841.88
  6. Step 6: Final answer
    x = 15,720.65

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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.