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Finding the Fourth Proportional to 21,939, 32,911.92 and 7,144.43

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Solution

The fourth proportional to 21,939, 32,911.92 and 7,144.43 is: 10,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,939 : 32,911.92 = 7,144.43 : x
  2. Step 2: Convert to fraction form
    21,939/32,911.92 = 7,144.43/x
  3. Step 3: Cross multiply
    21,939x = 32,911.92 × 7,144.43
  4. Step 4: Simplify right side
    21,939x = 235,136,908.61
  5. Step 5: Solve for x
    x = 235,136,908.61/21,939
  6. Step 6: Final answer
    x = 10,717.76

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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.