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Finding the Fourth Proportional to 20,119.72, 27,766.02 and 13,400.84

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Solution

The fourth proportional to 20,119.72, 27,766.02 and 13,400.84 is: 18,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.72 : 27,766.02 = 13,400.84 : x
  2. Step 2: Convert to fraction form
    20,119.72/27,766.02 = 13,400.84/x
  3. Step 3: Cross multiply
    20,119.72x = 27,766.02 × 13,400.84
  4. Step 4: Simplify right side
    20,119.72x = 372,087,998.06
  5. Step 5: Solve for x
    x = 372,087,998.06/20,119.72
  6. Step 6: Final answer
    x = 18,493.70

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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.