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Finding the Fourth Proportional to 14,536.20, 20,062.14 and 8,874.24

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Solution

The fourth proportional to 14,536.20, 20,062.14 and 8,874.24 is: 12,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.20 : 20,062.14 = 8,874.24 : x
  2. Step 2: Convert to fraction form
    14,536.20/20,062.14 = 8,874.24/x
  3. Step 3: Cross multiply
    14,536.20x = 20,062.14 × 8,874.24
  4. Step 4: Simplify right side
    14,536.20x = 178,036,170.04
  5. Step 5: Solve for x
    x = 178,036,170.04/14,536.20
  6. Step 6: Final answer
    x = 12,247.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.