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Finding the Fourth Proportional to 24,251.80, 36,376.56 and 7,609.24

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Solution

The fourth proportional to 24,251.80, 36,376.56 and 7,609.24 is: 11,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.80 : 36,376.56 = 7,609.24 : x
  2. Step 2: Convert to fraction form
    24,251.80/36,376.56 = 7,609.24/x
  3. Step 3: Cross multiply
    24,251.80x = 36,376.56 × 7,609.24
  4. Step 4: Simplify right side
    24,251.80x = 276,797,975.41
  5. Step 5: Solve for x
    x = 276,797,975.41/24,251.80
  6. Step 6: Final answer
    x = 11,413.50

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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.