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Finding the Fourth Proportional to 20,728.10, 31,092.15 and 6,877.10

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Solution

The fourth proportional to 20,728.10, 31,092.15 and 6,877.10 is: 10,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.10 : 31,092.15 = 6,877.10 : x
  2. Step 2: Convert to fraction form
    20,728.10/31,092.15 = 6,877.10/x
  3. Step 3: Cross multiply
    20,728.10x = 31,092.15 × 6,877.10
  4. Step 4: Simplify right side
    20,728.10x = 213,823,824.77
  5. Step 5: Solve for x
    x = 213,823,824.77/20,728.10
  6. Step 6: Final answer
    x = 10,315.65

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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.