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Finding the Fourth Proportional to 20,778.68, 31,174.65 and 7,442.66

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Solution

The fourth proportional to 20,778.68, 31,174.65 and 7,442.66 is: 11,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.68 : 31,174.65 = 7,442.66 : x
  2. Step 2: Convert to fraction form
    20,778.68/31,174.65 = 7,442.66/x
  3. Step 3: Cross multiply
    20,778.68x = 31,174.65 × 7,442.66
  4. Step 4: Simplify right side
    20,778.68x = 232,022,289.89
  5. Step 5: Solve for x
    x = 232,022,289.89/20,778.68
  6. Step 6: Final answer
    x = 11,166.36

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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.