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Finding the Fourth Proportional to 20,278.34, 30,413.79 and 5,488.46

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Solution

The fourth proportional to 20,278.34, 30,413.79 and 5,488.46 is: 8,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.34 : 30,413.79 = 5,488.46 : x
  2. Step 2: Convert to fraction form
    20,278.34/30,413.79 = 5,488.46/x
  3. Step 3: Cross multiply
    20,278.34x = 30,413.79 × 5,488.46
  4. Step 4: Simplify right side
    20,278.34x = 166,924,869.86
  5. Step 5: Solve for x
    x = 166,924,869.86/20,278.34
  6. Step 6: Final answer
    x = 8,231.68

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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.