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Finding the Fourth Proportional to 23,238.38, 32,068.08 and 12,627.78

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Solution

The fourth proportional to 23,238.38, 32,068.08 and 12,627.78 is: 17,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.38 : 32,068.08 = 12,627.78 : x
  2. Step 2: Convert to fraction form
    23,238.38/32,068.08 = 12,627.78/x
  3. Step 3: Cross multiply
    23,238.38x = 32,068.08 × 12,627.78
  4. Step 4: Simplify right side
    23,238.38x = 404,948,659.26
  5. Step 5: Solve for x
    x = 404,948,659.26/23,238.38
  6. Step 6: Final answer
    x = 17,425.86

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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.