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Finding the Fourth Proportional to 19,711.50, 27,201.87 and 13,434.84

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Solution

The fourth proportional to 19,711.50, 27,201.87 and 13,434.84 is: 18,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.50 : 27,201.87 = 13,434.84 : x
  2. Step 2: Convert to fraction form
    19,711.50/27,201.87 = 13,434.84/x
  3. Step 3: Cross multiply
    19,711.50x = 27,201.87 × 13,434.84
  4. Step 4: Simplify right side
    19,711.50x = 365,452,771.15
  5. Step 5: Solve for x
    x = 365,452,771.15/19,711.50
  6. Step 6: Final answer
    x = 18,540.08

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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.