Home / 20,198-30,288.12-10,835.24

Finding the Fourth Proportional to 20,198, 30,288.12 and 10,835.24

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Solution

The fourth proportional to 20,198, 30,288.12 and 10,835.24 is: 16,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 30,288.12 = 10,835.24 : x
  2. Step 2: Convert to fraction form
    20,198/30,288.12 = 10,835.24/x
  3. Step 3: Cross multiply
    20,198x = 30,288.12 × 10,835.24
  4. Step 4: Simplify right side
    20,198x = 328,179,049.35
  5. Step 5: Solve for x
    x = 328,179,049.35/20,198
  6. Step 6: Final answer
    x = 16,248.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.