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Finding the Fourth Proportional to 16,252.96, 24,366 and 7,480.48

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Solution

The fourth proportional to 16,252.96, 24,366 and 7,480.48 is: 11,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.96 : 24,366 = 7,480.48 : x
  2. Step 2: Convert to fraction form
    16,252.96/24,366 = 7,480.48/x
  3. Step 3: Cross multiply
    16,252.96x = 24,366 × 7,480.48
  4. Step 4: Simplify right side
    16,252.96x = 182,269,375.68
  5. Step 5: Solve for x
    x = 182,269,375.68/16,252.96
  6. Step 6: Final answer
    x = 11,214.53

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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.