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Finding the Fourth Proportional to 23,188.97, 31,999.92 and 12,578.38

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Solution

The fourth proportional to 23,188.97, 31,999.92 and 12,578.38 is: 17,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.97 : 31,999.92 = 12,578.38 : x
  2. Step 2: Convert to fraction form
    23,188.97/31,999.92 = 12,578.38/x
  3. Step 3: Cross multiply
    23,188.97x = 31,999.92 × 12,578.38
  4. Step 4: Simplify right side
    23,188.97x = 402,507,153.73
  5. Step 5: Solve for x
    x = 402,507,153.73/23,188.97
  6. Step 6: Final answer
    x = 17,357.70

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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.