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Finding the Fourth Proportional to 11,818.80, 17,731.44 and 3,498.84

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Solution

The fourth proportional to 11,818.80, 17,731.44 and 3,498.84 is: 5,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.80 : 17,731.44 = 3,498.84 : x
  2. Step 2: Convert to fraction form
    11,818.80/17,731.44 = 3,498.84/x
  3. Step 3: Cross multiply
    11,818.80x = 17,731.44 × 3,498.84
  4. Step 4: Simplify right side
    11,818.80x = 62,039,471.53
  5. Step 5: Solve for x
    x = 62,039,471.53/11,818.80
  6. Step 6: Final answer
    x = 5,249.22

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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.