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Finding the Fourth Proportional to 13,872.75, 20,805.21 and 4,510.77

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Solution

The fourth proportional to 13,872.75, 20,805.21 and 4,510.77 is: 6,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.75 : 20,805.21 = 4,510.77 : x
  2. Step 2: Convert to fraction form
    13,872.75/20,805.21 = 4,510.77/x
  3. Step 3: Cross multiply
    13,872.75x = 20,805.21 × 4,510.77
  4. Step 4: Simplify right side
    13,872.75x = 93,847,517.11
  5. Step 5: Solve for x
    x = 93,847,517.11/13,872.75
  6. Step 6: Final answer
    x = 6,764.88

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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.