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Finding the Fourth Proportional to 20,152.41, 27,809.76 and 11,199.48

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Solution

The fourth proportional to 20,152.41, 27,809.76 and 11,199.48 is: 15,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.41 : 27,809.76 = 11,199.48 : x
  2. Step 2: Convert to fraction form
    20,152.41/27,809.76 = 11,199.48/x
  3. Step 3: Cross multiply
    20,152.41x = 27,809.76 × 11,199.48
  4. Step 4: Simplify right side
    20,152.41x = 311,454,850.92
  5. Step 5: Solve for x
    x = 311,454,850.92/20,152.41
  6. Step 6: Final answer
    x = 15,454.97

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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.