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Finding the Fourth Proportional to 27,644.96, 38,149.80 and 15,069.44

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Solution

The fourth proportional to 27,644.96, 38,149.80 and 15,069.44 is: 20,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.96 : 38,149.80 = 15,069.44 : x
  2. Step 2: Convert to fraction form
    27,644.96/38,149.80 = 15,069.44/x
  3. Step 3: Cross multiply
    27,644.96x = 38,149.80 × 15,069.44
  4. Step 4: Simplify right side
    27,644.96x = 574,896,122.11
  5. Step 5: Solve for x
    x = 574,896,122.11/27,644.96
  6. Step 6: Final answer
    x = 20,795.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.