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Finding the Fourth Proportional to 17,667.80, 24,403.20 and 13,211.38

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Solution

The fourth proportional to 17,667.80, 24,403.20 and 13,211.38 is: 18,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.80 : 24,403.20 = 13,211.38 : x
  2. Step 2: Convert to fraction form
    17,667.80/24,403.20 = 13,211.38/x
  3. Step 3: Cross multiply
    17,667.80x = 24,403.20 × 13,211.38
  4. Step 4: Simplify right side
    17,667.80x = 322,399,826.40
  5. Step 5: Solve for x
    x = 322,399,826.40/17,667.80
  6. Step 6: Final answer
    x = 18,247.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.