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Finding the Fourth Proportional to 20,709.78, 31,064.67 and 5,127.42

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Solution

The fourth proportional to 20,709.78, 31,064.67 and 5,127.42 is: 7,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.78 : 31,064.67 = 5,127.42 : x
  2. Step 2: Convert to fraction form
    20,709.78/31,064.67 = 5,127.42/x
  3. Step 3: Cross multiply
    20,709.78x = 31,064.67 × 5,127.42
  4. Step 4: Simplify right side
    20,709.78x = 159,281,610.25
  5. Step 5: Solve for x
    x = 159,281,610.25/20,709.78
  6. Step 6: Final answer
    x = 7,691.13

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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.