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Finding the Fourth Proportional to 27,337.97, 40,947.62 and 13,268.43

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Solution

The fourth proportional to 27,337.97, 40,947.62 and 13,268.43 is: 19,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337.97 : 40,947.62 = 13,268.43 : x
  2. Step 2: Convert to fraction form
    27,337.97/40,947.62 = 13,268.43/x
  3. Step 3: Cross multiply
    27,337.97x = 40,947.62 × 13,268.43
  4. Step 4: Simplify right side
    27,337.97x = 543,310,637.93
  5. Step 5: Solve for x
    x = 543,310,637.93/27,337.97
  6. Step 6: Final answer
    x = 19,873.85

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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.