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Finding the Fourth Proportional to 22,714.20, 31,345.64 and 12,778.20

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Solution

The fourth proportional to 22,714.20, 31,345.64 and 12,778.20 is: 17,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.20 : 31,345.64 = 12,778.20 : x
  2. Step 2: Convert to fraction form
    22,714.20/31,345.64 = 12,778.20/x
  3. Step 3: Cross multiply
    22,714.20x = 31,345.64 × 12,778.20
  4. Step 4: Simplify right side
    22,714.20x = 400,540,857.05
  5. Step 5: Solve for x
    x = 400,540,857.05/22,714.20
  6. Step 6: Final answer
    x = 17,633.94

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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.