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Finding the Fourth Proportional to 27,769.20, 38,334.08 and 17,711.20

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Solution

The fourth proportional to 27,769.20, 38,334.08 and 17,711.20 is: 24,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.20 : 38,334.08 = 17,711.20 : x
  2. Step 2: Convert to fraction form
    27,769.20/38,334.08 = 17,711.20/x
  3. Step 3: Cross multiply
    27,769.20x = 38,334.08 × 17,711.20
  4. Step 4: Simplify right side
    27,769.20x = 678,942,557.70
  5. Step 5: Solve for x
    x = 678,942,557.70/27,769.20
  6. Step 6: Final answer
    x = 24,449.48

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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.