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Finding the Fourth Proportional to 20,841.41, 31,264.17 and 6,800.87

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Solution

The fourth proportional to 20,841.41, 31,264.17 and 6,800.87 is: 10,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.41 : 31,264.17 = 6,800.87 : x
  2. Step 2: Convert to fraction form
    20,841.41/31,264.17 = 6,800.87/x
  3. Step 3: Cross multiply
    20,841.41x = 31,264.17 × 6,800.87
  4. Step 4: Simplify right side
    20,841.41x = 212,623,555.83
  5. Step 5: Solve for x
    x = 212,623,555.83/20,841.41
  6. Step 6: Final answer
    x = 10,201.98

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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.