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Finding the Fourth Proportional to 20,714.78, 31,072.18 and 5,132.42

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Solution

The fourth proportional to 20,714.78, 31,072.18 and 5,132.42 is: 7,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.78 : 31,072.18 = 5,132.42 : x
  2. Step 2: Convert to fraction form
    20,714.78/31,072.18 = 5,132.42/x
  3. Step 3: Cross multiply
    20,714.78x = 31,072.18 × 5,132.42
  4. Step 4: Simplify right side
    20,714.78x = 159,475,478.08
  5. Step 5: Solve for x
    x = 159,475,478.08/20,714.78
  6. Step 6: Final answer
    x = 7,698.63

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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.