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Finding the Fourth Proportional to 20,697.26, 31,045.90 and 5,114.90

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Solution

The fourth proportional to 20,697.26, 31,045.90 and 5,114.90 is: 7,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.26 : 31,045.90 = 5,114.90 : x
  2. Step 2: Convert to fraction form
    20,697.26/31,045.90 = 5,114.90/x
  3. Step 3: Cross multiply
    20,697.26x = 31,045.90 × 5,114.90
  4. Step 4: Simplify right side
    20,697.26x = 158,796,673.91
  5. Step 5: Solve for x
    x = 158,796,673.91/20,697.26
  6. Step 6: Final answer
    x = 7,672.35

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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.