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Finding the Fourth Proportional to 16,253.52, 24,383.31 and 5,163

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Solution

The fourth proportional to 16,253.52, 24,383.31 and 5,163 is: 7,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.52 : 24,383.31 = 5,163 : x
  2. Step 2: Convert to fraction form
    16,253.52/24,383.31 = 5,163/x
  3. Step 3: Cross multiply
    16,253.52x = 24,383.31 × 5,163
  4. Step 4: Simplify right side
    16,253.52x = 125,891,029.53
  5. Step 5: Solve for x
    x = 125,891,029.53/16,253.52
  6. Step 6: Final answer
    x = 7,745.46

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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.