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Finding the Fourth Proportional to 17,469.75, 24,115.51 and 13,222

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Solution

The fourth proportional to 17,469.75, 24,115.51 and 13,222 is: 18,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.75 : 24,115.51 = 13,222 : x
  2. Step 2: Convert to fraction form
    17,469.75/24,115.51 = 13,222/x
  3. Step 3: Cross multiply
    17,469.75x = 24,115.51 × 13,222
  4. Step 4: Simplify right side
    17,469.75x = 318,855,207.11
  5. Step 5: Solve for x
    x = 318,855,207.11/17,469.75
  6. Step 6: Final answer
    x = 18,251.84

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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.