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Finding the Fourth Proportional to 22,714.32, 34,072.92 and 7,132.56

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Solution

The fourth proportional to 22,714.32, 34,072.92 and 7,132.56 is: 10,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.32 : 34,072.92 = 7,132.56 : x
  2. Step 2: Convert to fraction form
    22,714.32/34,072.92 = 7,132.56/x
  3. Step 3: Cross multiply
    22,714.32x = 34,072.92 × 7,132.56
  4. Step 4: Simplify right side
    22,714.32x = 243,027,146.28
  5. Step 5: Solve for x
    x = 243,027,146.28/22,714.32
  6. Step 6: Final answer
    x = 10,699.29

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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.