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Finding the Fourth Proportional to 22,714.62, 34,076.38 and 7,924.02

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Solution

The fourth proportional to 22,714.62, 34,076.38 and 7,924.02 is: 11,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.62 : 34,076.38 = 7,924.02 : x
  2. Step 2: Convert to fraction form
    22,714.62/34,076.38 = 7,924.02/x
  3. Step 3: Cross multiply
    22,714.62x = 34,076.38 × 7,924.02
  4. Step 4: Simplify right side
    22,714.62x = 270,021,916.65
  5. Step 5: Solve for x
    x = 270,021,916.65/22,714.62
  6. Step 6: Final answer
    x = 11,887.58

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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.