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Finding the Fourth Proportional to 20,757.10, 31,129.02 and 6,714.16

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Solution

The fourth proportional to 20,757.10, 31,129.02 and 6,714.16 is: 10,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.10 : 31,129.02 = 6,714.16 : x
  2. Step 2: Convert to fraction form
    20,757.10/31,129.02 = 6,714.16/x
  3. Step 3: Cross multiply
    20,757.10x = 31,129.02 × 6,714.16
  4. Step 4: Simplify right side
    20,757.10x = 209,005,220.92
  5. Step 5: Solve for x
    x = 209,005,220.92/20,757.10
  6. Step 6: Final answer
    x = 10,069.10

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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.