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Finding the Fourth Proportional to 24,382.57, 36,573.85 and 5,914.57

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Solution

The fourth proportional to 24,382.57, 36,573.85 and 5,914.57 is: 8,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.57 : 36,573.85 = 5,914.57 : x
  2. Step 2: Convert to fraction form
    24,382.57/36,573.85 = 5,914.57/x
  3. Step 3: Cross multiply
    24,382.57x = 36,573.85 × 5,914.57
  4. Step 4: Simplify right side
    24,382.57x = 216,318,413.13
  5. Step 5: Solve for x
    x = 216,318,413.13/24,382.57
  6. Step 6: Final answer
    x = 8,871.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.