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Finding the Fourth Proportional to 16,824.89, 25,238.28 and 7,462.71

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Solution

The fourth proportional to 16,824.89, 25,238.28 and 7,462.71 is: 11,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.89 : 25,238.28 = 7,462.71 : x
  2. Step 2: Convert to fraction form
    16,824.89/25,238.28 = 7,462.71/x
  3. Step 3: Cross multiply
    16,824.89x = 25,238.28 × 7,462.71
  4. Step 4: Simplify right side
    16,824.89x = 188,345,964.54
  5. Step 5: Solve for x
    x = 188,345,964.54/16,824.89
  6. Step 6: Final answer
    x = 11,194.49

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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.