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Finding the Fourth Proportional to 24,176.62, 36,257.64 and 9,382.24

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Solution

The fourth proportional to 24,176.62, 36,257.64 and 9,382.24 is: 14,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.62 : 36,257.64 = 9,382.24 : x
  2. Step 2: Convert to fraction form
    24,176.62/36,257.64 = 9,382.24/x
  3. Step 3: Cross multiply
    24,176.62x = 36,257.64 × 9,382.24
  4. Step 4: Simplify right side
    24,176.62x = 340,177,880.31
  5. Step 5: Solve for x
    x = 340,177,880.31/24,176.62
  6. Step 6: Final answer
    x = 14,070.53

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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.