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Finding the Fourth Proportional to 20,134.78, 27,781.52 and 12,176.84

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Solution

The fourth proportional to 20,134.78, 27,781.52 and 12,176.84 is: 16,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.78 : 27,781.52 = 12,176.84 : x
  2. Step 2: Convert to fraction form
    20,134.78/27,781.52 = 12,176.84/x
  3. Step 3: Cross multiply
    20,134.78x = 27,781.52 × 12,176.84
  4. Step 4: Simplify right side
    20,134.78x = 338,291,124.00
  5. Step 5: Solve for x
    x = 338,291,124.00/20,134.78
  6. Step 6: Final answer
    x = 16,801.33

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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.