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Finding the Fourth Proportional to 13,847.33, 20,737.89 and 7,986.17

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Solution

The fourth proportional to 13,847.33, 20,737.89 and 7,986.17 is: 11,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.33 : 20,737.89 = 7,986.17 : x
  2. Step 2: Convert to fraction form
    13,847.33/20,737.89 = 7,986.17/x
  3. Step 3: Cross multiply
    13,847.33x = 20,737.89 × 7,986.17
  4. Step 4: Simplify right side
    13,847.33x = 165,616,366.83
  5. Step 5: Solve for x
    x = 165,616,366.83/13,847.33
  6. Step 6: Final answer
    x = 11,960.16

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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.