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Finding the Fourth Proportional to 17,476, 26,218.32 and 5,164

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Solution

The fourth proportional to 17,476, 26,218.32 and 5,164 is: 7,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476 : 26,218.32 = 5,164 : x
  2. Step 2: Convert to fraction form
    17,476/26,218.32 = 5,164/x
  3. Step 3: Cross multiply
    17,476x = 26,218.32 × 5,164
  4. Step 4: Simplify right side
    17,476x = 135,391,404.48
  5. Step 5: Solve for x
    x = 135,391,404.48/17,476
  6. Step 6: Final answer
    x = 7,747.28

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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.