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Finding the Fourth Proportional to 23,474.13, 32,395.04 and 12,864.41

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Solution

The fourth proportional to 23,474.13, 32,395.04 and 12,864.41 is: 17,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.13 : 32,395.04 = 12,864.41 : x
  2. Step 2: Convert to fraction form
    23,474.13/32,395.04 = 12,864.41/x
  3. Step 3: Cross multiply
    23,474.13x = 32,395.04 × 12,864.41
  4. Step 4: Simplify right side
    23,474.13x = 416,743,076.53
  5. Step 5: Solve for x
    x = 416,743,076.53/23,474.13
  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.