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Finding the Fourth Proportional to 27,716.88, 38,248.44 and 15,781.92

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Solution

The fourth proportional to 27,716.88, 38,248.44 and 15,781.92 is: 21,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.88 : 38,248.44 = 15,781.92 : x
  2. Step 2: Convert to fraction form
    27,716.88/38,248.44 = 15,781.92/x
  3. Step 3: Cross multiply
    27,716.88x = 38,248.44 × 15,781.92
  4. Step 4: Simplify right side
    27,716.88x = 603,633,820.20
  5. Step 5: Solve for x
    x = 603,633,820.20/27,716.88
  6. Step 6: Final answer
    x = 21,778.56

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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.