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Finding the Fourth Proportional to 22,714.12, 34,072.14 and 7,924.52

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Solution

The fourth proportional to 22,714.12, 34,072.14 and 7,924.52 is: 11,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.12 : 34,072.14 = 7,924.52 : x
  2. Step 2: Convert to fraction form
    22,714.12/34,072.14 = 7,924.52/x
  3. Step 3: Cross multiply
    22,714.12x = 34,072.14 × 7,924.52
  4. Step 4: Simplify right side
    22,714.12x = 270,005,354.87
  5. Step 5: Solve for x
    x = 270,005,354.87/22,714.12
  6. Step 6: Final answer
    x = 11,887.11

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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.