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Finding the Fourth Proportional to 22,379.96, 33,568.18 and 13,014

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Solution

The fourth proportional to 22,379.96, 33,568.18 and 13,014 is: 19,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379.96 : 33,568.18 = 13,014 : x
  2. Step 2: Convert to fraction form
    22,379.96/33,568.18 = 13,014/x
  3. Step 3: Cross multiply
    22,379.96x = 33,568.18 × 13,014
  4. Step 4: Simplify right side
    22,379.96x = 436,856,261.99
  5. Step 5: Solve for x
    x = 436,856,261.99/22,379.96
  6. Step 6: Final answer
    x = 19,519.97

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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.