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Finding the Fourth Proportional to 16,488, 24,735.84 and 5,544

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Solution

The fourth proportional to 16,488, 24,735.84 and 5,544 is: 8,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 24,735.84 = 5,544 : x
  2. Step 2: Convert to fraction form
    16,488/24,735.84 = 5,544/x
  3. Step 3: Cross multiply
    16,488x = 24,735.84 × 5,544
  4. Step 4: Simplify right side
    16,488x = 137,135,496.96
  5. Step 5: Solve for x
    x = 137,135,496.96/16,488
  6. Step 6: Final answer
    x = 8,317.29

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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.