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Finding the Fourth Proportional to 27,714.58, 41,565.78 and 7,988.85

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Solution

The fourth proportional to 27,714.58, 41,565.78 and 7,988.85 is: 11,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.58 : 41,565.78 = 7,988.85 : x
  2. Step 2: Convert to fraction form
    27,714.58/41,565.78 = 7,988.85/x
  3. Step 3: Cross multiply
    27,714.58x = 41,565.78 × 7,988.85
  4. Step 4: Simplify right side
    27,714.58x = 332,062,781.55
  5. Step 5: Solve for x
    x = 332,062,781.55/27,714.58
  6. Step 6: Final answer
    x = 11,981.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.