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Finding the Fourth Proportional to 19,975.20, 29,938.80 and 8,282.40

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Solution

The fourth proportional to 19,975.20, 29,938.80 and 8,282.40 is: 12,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.20 : 29,938.80 = 8,282.40 : x
  2. Step 2: Convert to fraction form
    19,975.20/29,938.80 = 8,282.40/x
  3. Step 3: Cross multiply
    19,975.20x = 29,938.80 × 8,282.40
  4. Step 4: Simplify right side
    19,975.20x = 247,965,117.12
  5. Step 5: Solve for x
    x = 247,965,117.12/19,975.20
  6. Step 6: Final answer
    x = 12,413.65

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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.