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Finding the Fourth Proportional to 27,951.50, 41,886.47 and 12,963.20

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Solution

The fourth proportional to 27,951.50, 41,886.47 and 12,963.20 is: 19,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.50 : 41,886.47 = 12,963.20 : x
  2. Step 2: Convert to fraction form
    27,951.50/41,886.47 = 12,963.20/x
  3. Step 3: Cross multiply
    27,951.50x = 41,886.47 × 12,963.20
  4. Step 4: Simplify right side
    27,951.50x = 542,982,413.66
  5. Step 5: Solve for x
    x = 542,982,413.66/27,951.50
  6. Step 6: Final answer
    x = 19,425.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.