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Finding the Fourth Proportional to 23,474.96, 32,395.60 and 12,864.64

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Solution

The fourth proportional to 23,474.96, 32,395.60 and 12,864.64 is: 17,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.96 : 32,395.60 = 12,864.64 : x
  2. Step 2: Convert to fraction form
    23,474.96/32,395.60 = 12,864.64/x
  3. Step 3: Cross multiply
    23,474.96x = 32,395.60 × 12,864.64
  4. Step 4: Simplify right side
    23,474.96x = 416,757,731.58
  5. Step 5: Solve for x
    x = 416,757,731.58/23,474.96
  6. Step 6: Final answer
    x = 17,753.29

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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.