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Finding the Fourth Proportional to 22,714.20, 34,072.74 and 7,132.44

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Solution

The fourth proportional to 22,714.20, 34,072.74 and 7,132.44 is: 10,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.20 : 34,072.74 = 7,132.44 : x
  2. Step 2: Convert to fraction form
    22,714.20/34,072.74 = 7,132.44/x
  3. Step 3: Cross multiply
    22,714.20x = 34,072.74 × 7,132.44
  4. Step 4: Simplify right side
    22,714.20x = 243,021,773.69
  5. Step 5: Solve for x
    x = 243,021,773.69/22,714.20
  6. Step 6: Final answer
    x = 10,699.11

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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.