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Finding the Fourth Proportional to 23,449.57, 32,360.25 and 12,839.38

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Solution

The fourth proportional to 23,449.57, 32,360.25 and 12,839.38 is: 17,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.57 : 32,360.25 = 12,839.38 : x
  2. Step 2: Convert to fraction form
    23,449.57/32,360.25 = 12,839.38/x
  3. Step 3: Cross multiply
    23,449.57x = 32,360.25 × 12,839.38
  4. Step 4: Simplify right side
    23,449.57x = 415,485,546.65
  5. Step 5: Solve for x
    x = 415,485,546.65/23,449.57
  6. Step 6: Final answer
    x = 17,718.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.