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Finding the Fourth Proportional to 13,169.68, 18,170.76 and 7,862.16

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Solution

The fourth proportional to 13,169.68, 18,170.76 and 7,862.16 is: 10,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.68 : 18,170.76 = 7,862.16 : x
  2. Step 2: Convert to fraction form
    13,169.68/18,170.76 = 7,862.16/x
  3. Step 3: Cross multiply
    13,169.68x = 18,170.76 × 7,862.16
  4. Step 4: Simplify right side
    13,169.68x = 142,861,422.44
  5. Step 5: Solve for x
    x = 142,861,422.44/13,169.68
  6. Step 6: Final answer
    x = 10,847.75

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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.