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Finding the Fourth Proportional to 24,413.67, 36,615.38 and 6,878.79

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Solution

The fourth proportional to 24,413.67, 36,615.38 and 6,878.79 is: 10,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.67 : 36,615.38 = 6,878.79 : x
  2. Step 2: Convert to fraction form
    24,413.67/36,615.38 = 6,878.79/x
  3. Step 3: Cross multiply
    24,413.67x = 36,615.38 × 6,878.79
  4. Step 4: Simplify right side
    24,413.67x = 251,869,475.40
  5. Step 5: Solve for x
    x = 251,869,475.40/24,413.67
  6. Step 6: Final answer
    x = 10,316.74

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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.