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Finding the Fourth Proportional to 24,257.60, 36,357.60 and 10,217.60

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Solution

The fourth proportional to 24,257.60, 36,357.60 and 10,217.60 is: 15,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.60 : 36,357.60 = 10,217.60 : x
  2. Step 2: Convert to fraction form
    24,257.60/36,357.60 = 10,217.60/x
  3. Step 3: Cross multiply
    24,257.60x = 36,357.60 × 10,217.60
  4. Step 4: Simplify right side
    24,257.60x = 371,487,413.76
  5. Step 5: Solve for x
    x = 371,487,413.76/24,257.60
  6. Step 6: Final answer
    x = 15,314.27

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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.