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Finding the Fourth Proportional to 20,860.88, 31,278.67 and 8,195.46

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Solution

The fourth proportional to 20,860.88, 31,278.67 and 8,195.46 is: 12,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.88 : 31,278.67 = 8,195.46 : x
  2. Step 2: Convert to fraction form
    20,860.88/31,278.67 = 8,195.46/x
  3. Step 3: Cross multiply
    20,860.88x = 31,278.67 × 8,195.46
  4. Step 4: Simplify right side
    20,860.88x = 256,343,173.10
  5. Step 5: Solve for x
    x = 256,343,173.10/20,860.88
  6. Step 6: Final answer
    x = 12,288.23

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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.