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Finding the Fourth Proportional to 13,872.87, 20,811.13 and 4,012.23

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Solution

The fourth proportional to 13,872.87, 20,811.13 and 4,012.23 is: 6,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.87 : 20,811.13 = 4,012.23 : x
  2. Step 2: Convert to fraction form
    13,872.87/20,811.13 = 4,012.23/x
  3. Step 3: Cross multiply
    13,872.87x = 20,811.13 × 4,012.23
  4. Step 4: Simplify right side
    13,872.87x = 83,499,108.13
  5. Step 5: Solve for x
    x = 83,499,108.13/13,872.87
  6. Step 6: Final answer
    x = 6,018.88

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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.