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Finding the Fourth Proportional to 17,771.47, 26,638.47 and 5,922.08

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Solution

The fourth proportional to 17,771.47, 26,638.47 and 5,922.08 is: 8,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.47 : 26,638.47 = 5,922.08 : x
  2. Step 2: Convert to fraction form
    17,771.47/26,638.47 = 5,922.08/x
  3. Step 3: Cross multiply
    17,771.47x = 26,638.47 × 5,922.08
  4. Step 4: Simplify right side
    17,771.47x = 157,755,117.12
  5. Step 5: Solve for x
    x = 157,755,117.12/17,771.47
  6. Step 6: Final answer
    x = 8,876.88

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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.