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Finding the Fourth Proportional to 20,321.49, 30,471.10 and 6,277.71

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Solution

The fourth proportional to 20,321.49, 30,471.10 and 6,277.71 is: 9,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.49 : 30,471.10 = 6,277.71 : x
  2. Step 2: Convert to fraction form
    20,321.49/30,471.10 = 6,277.71/x
  3. Step 3: Cross multiply
    20,321.49x = 30,471.10 × 6,277.71
  4. Step 4: Simplify right side
    20,321.49x = 191,288,713.49
  5. Step 5: Solve for x
    x = 191,288,713.49/20,321.49
  6. Step 6: Final answer
    x = 9,413.12

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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.