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Finding the Fourth Proportional to 13,863.57, 20,765.93 and 12,872.13

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Solution

The fourth proportional to 13,863.57, 20,765.93 and 12,872.13 is: 19,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.57 : 20,765.93 = 12,872.13 : x
  2. Step 2: Convert to fraction form
    13,863.57/20,765.93 = 12,872.13/x
  3. Step 3: Cross multiply
    13,863.57x = 20,765.93 × 12,872.13
  4. Step 4: Simplify right side
    13,863.57x = 267,301,686.17
  5. Step 5: Solve for x
    x = 267,301,686.17/13,863.57
  6. Step 6: Final answer
    x = 19,280.87

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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.