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Finding the Fourth Proportional to 12,257.88, 18,379.41 and 5,502.24

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Solution

The fourth proportional to 12,257.88, 18,379.41 and 5,502.24 is: 8,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.88 : 18,379.41 = 5,502.24 : x
  2. Step 2: Convert to fraction form
    12,257.88/18,379.41 = 5,502.24/x
  3. Step 3: Cross multiply
    12,257.88x = 18,379.41 × 5,502.24
  4. Step 4: Simplify right side
    12,257.88x = 101,127,924.88
  5. Step 5: Solve for x
    x = 101,127,924.88/12,257.88
  6. Step 6: Final answer
    x = 8,250.03

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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.