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Finding the Fourth Proportional to 24,071.67, 36,097.17 and 8,278.29

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Solution

The fourth proportional to 24,071.67, 36,097.17 and 8,278.29 is: 12,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.67 : 36,097.17 = 8,278.29 : x
  2. Step 2: Convert to fraction form
    24,071.67/36,097.17 = 8,278.29/x
  3. Step 3: Cross multiply
    24,071.67x = 36,097.17 × 8,278.29
  4. Step 4: Simplify right side
    24,071.67x = 298,822,841.44
  5. Step 5: Solve for x
    x = 298,822,841.44/24,071.67
  6. Step 6: Final answer
    x = 12,413.88

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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.