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Finding the Fourth Proportional to 13,744.16, 18,966.48 and 8,439.20

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Solution

The fourth proportional to 13,744.16, 18,966.48 and 8,439.20 is: 11,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.16 : 18,966.48 = 8,439.20 : x
  2. Step 2: Convert to fraction form
    13,744.16/18,966.48 = 8,439.20/x
  3. Step 3: Cross multiply
    13,744.16x = 18,966.48 × 8,439.20
  4. Step 4: Simplify right side
    13,744.16x = 160,061,918.02
  5. Step 5: Solve for x
    x = 160,061,918.02/13,744.16
  6. Step 6: Final answer
    x = 11,645.81

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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.