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Finding the Fourth Proportional to 21,029.27, 31,543.49 and 5,446.49

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Solution

The fourth proportional to 21,029.27, 31,543.49 and 5,446.49 is: 8,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.27 : 31,543.49 = 5,446.49 : x
  2. Step 2: Convert to fraction form
    21,029.27/31,543.49 = 5,446.49/x
  3. Step 3: Cross multiply
    21,029.27x = 31,543.49 × 5,446.49
  4. Step 4: Simplify right side
    21,029.27x = 171,801,158.75
  5. Step 5: Solve for x
    x = 171,801,158.75/21,029.27
  6. Step 6: Final answer
    x = 8,169.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.