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Finding the Fourth Proportional to 27,755.86, 38,306.82 and 15,658.80

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Solution

The fourth proportional to 27,755.86, 38,306.82 and 15,658.80 is: 21,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.86 : 38,306.82 = 15,658.80 : x
  2. Step 2: Convert to fraction form
    27,755.86/38,306.82 = 15,658.80/x
  3. Step 3: Cross multiply
    27,755.86x = 38,306.82 × 15,658.80
  4. Step 4: Simplify right side
    27,755.86x = 599,838,833.02
  5. Step 5: Solve for x
    x = 599,838,833.02/27,755.86
  6. Step 6: Final answer
    x = 21,611.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.