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Finding the Fourth Proportional to 16,129.12, 24,198 and 9,208.48

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Solution

The fourth proportional to 16,129.12, 24,198 and 9,208.48 is: 13,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.12 : 24,198 = 9,208.48 : x
  2. Step 2: Convert to fraction form
    16,129.12/24,198 = 9,208.48/x
  3. Step 3: Cross multiply
    16,129.12x = 24,198 × 9,208.48
  4. Step 4: Simplify right side
    16,129.12x = 222,826,799.04
  5. Step 5: Solve for x
    x = 222,826,799.04/16,129.12
  6. Step 6: Final answer
    x = 13,815.19

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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.