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Finding the Fourth Proportional to 22,714, 34,076.38 and 7,131.62

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Solution

The fourth proportional to 22,714, 34,076.38 and 7,131.62 is: 10,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714 : 34,076.38 = 7,131.62 : x
  2. Step 2: Convert to fraction form
    22,714/34,076.38 = 7,131.62/x
  3. Step 3: Cross multiply
    22,714x = 34,076.38 × 7,131.62
  4. Step 4: Simplify right side
    22,714x = 243,019,793.14
  5. Step 5: Solve for x
    x = 243,019,793.14/22,714
  6. Step 6: Final answer
    x = 10,699.12

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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.