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Finding the Fourth Proportional to 27,737.52, 38,274.36 and 17,524.80

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Solution

The fourth proportional to 27,737.52, 38,274.36 and 17,524.80 is: 24,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.52 : 38,274.36 = 17,524.80 : x
  2. Step 2: Convert to fraction form
    27,737.52/38,274.36 = 17,524.80/x
  3. Step 3: Cross multiply
    27,737.52x = 38,274.36 × 17,524.80
  4. Step 4: Simplify right side
    27,737.52x = 670,750,504.13
  5. Step 5: Solve for x
    x = 670,750,504.13/27,737.52
  6. Step 6: Final answer
    x = 24,182.06

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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.