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Finding the Fourth Proportional to 23,475.96, 32,395.14 and 12,863.88

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Solution

The fourth proportional to 23,475.96, 32,395.14 and 12,863.88 is: 17,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475.96 : 32,395.14 = 12,863.88 : x
  2. Step 2: Convert to fraction form
    23,475.96/32,395.14 = 12,863.88/x
  3. Step 3: Cross multiply
    23,475.96x = 32,395.14 × 12,863.88
  4. Step 4: Simplify right side
    23,475.96x = 416,727,193.54
  5. Step 5: Solve for x
    x = 416,727,193.54/23,475.96
  6. Step 6: Final answer
    x = 17,751.23

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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.