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Finding the Fourth Proportional to 20,720, 31,084.92 and 6,869

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Solution

The fourth proportional to 20,720, 31,084.92 and 6,869 is: 10,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720 : 31,084.92 = 6,869 : x
  2. Step 2: Convert to fraction form
    20,720/31,084.92 = 6,869/x
  3. Step 3: Cross multiply
    20,720x = 31,084.92 × 6,869
  4. Step 4: Simplify right side
    20,720x = 213,522,315.48
  5. Step 5: Solve for x
    x = 213,522,315.48/20,720
  6. Step 6: Final answer
    x = 10,305.13

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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.