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Finding the Fourth Proportional to 17,666.38, 24,401.19 and 13,209.94

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Solution

The fourth proportional to 17,666.38, 24,401.19 and 13,209.94 is: 18,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.38 : 24,401.19 = 13,209.94 : x
  2. Step 2: Convert to fraction form
    17,666.38/24,401.19 = 13,209.94/x
  3. Step 3: Cross multiply
    17,666.38x = 24,401.19 × 13,209.94
  4. Step 4: Simplify right side
    17,666.38x = 322,338,255.83
  5. Step 5: Solve for x
    x = 322,338,255.83/17,666.38
  6. Step 6: Final answer
    x = 18,245.86

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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.