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Finding the Fourth Proportional to 12,378.30, 18,570.17 and 6,141.70

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Solution

The fourth proportional to 12,378.30, 18,570.17 and 6,141.70 is: 9,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.30 : 18,570.17 = 6,141.70 : x
  2. Step 2: Convert to fraction form
    12,378.30/18,570.17 = 6,141.70/x
  3. Step 3: Cross multiply
    12,378.30x = 18,570.17 × 6,141.70
  4. Step 4: Simplify right side
    12,378.30x = 114,052,413.09
  5. Step 5: Solve for x
    x = 114,052,413.09/12,378.30
  6. Step 6: Final answer
    x = 9,213.90

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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.