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Finding the Fourth Proportional to 24,878.57, 37,317.92 and 12,413.88

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Solution

The fourth proportional to 24,878.57, 37,317.92 and 12,413.88 is: 18,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.57 : 37,317.92 = 12,413.88 : x
  2. Step 2: Convert to fraction form
    24,878.57/37,317.92 = 12,413.88/x
  3. Step 3: Cross multiply
    24,878.57x = 37,317.92 × 12,413.88
  4. Step 4: Simplify right side
    24,878.57x = 463,260,118.66
  5. Step 5: Solve for x
    x = 463,260,118.66/24,878.57
  6. Step 6: Final answer
    x = 18,620.85

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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.