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Finding the Fourth Proportional to 29,439.25, 40,626.57 and 16,864

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Solution

The fourth proportional to 29,439.25, 40,626.57 and 16,864 is: 23,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439.25 : 40,626.57 = 16,864 : x
  2. Step 2: Convert to fraction form
    29,439.25/40,626.57 = 16,864/x
  3. Step 3: Cross multiply
    29,439.25x = 40,626.57 × 16,864
  4. Step 4: Simplify right side
    29,439.25x = 685,126,476.48
  5. Step 5: Solve for x
    x = 685,126,476.48/29,439.25
  6. Step 6: Final answer
    x = 23,272.55

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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.