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Finding the Fourth Proportional to 27,881.92, 38,477.82 and 15,781.44

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Solution

The fourth proportional to 27,881.92, 38,477.82 and 15,781.44 is: 21,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.92 : 38,477.82 = 15,781.44 : x
  2. Step 2: Convert to fraction form
    27,881.92/38,477.82 = 15,781.44/x
  3. Step 3: Cross multiply
    27,881.92x = 38,477.82 × 15,781.44
  4. Step 4: Simplify right side
    27,881.92x = 607,235,407.66
  5. Step 5: Solve for x
    x = 607,235,407.66/27,881.92
  6. Step 6: Final answer
    x = 21,778.82

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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.