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Finding the Fourth Proportional to 22,714.75, 31,346.49 and 12,778.75

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Solution

The fourth proportional to 22,714.75, 31,346.49 and 12,778.75 is: 17,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.75 : 31,346.49 = 12,778.75 : x
  2. Step 2: Convert to fraction form
    22,714.75/31,346.49 = 12,778.75/x
  3. Step 3: Cross multiply
    22,714.75x = 31,346.49 × 12,778.75
  4. Step 4: Simplify right side
    22,714.75x = 400,568,959.09
  5. Step 5: Solve for x
    x = 400,568,959.09/22,714.75
  6. Step 6: Final answer
    x = 17,634.75

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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.