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Finding the Fourth Proportional to 13,471.65, 20,208.39 and 4,111.73

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Solution

The fourth proportional to 13,471.65, 20,208.39 and 4,111.73 is: 6,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.65 : 20,208.39 = 4,111.73 : x
  2. Step 2: Convert to fraction form
    13,471.65/20,208.39 = 4,111.73/x
  3. Step 3: Cross multiply
    13,471.65x = 20,208.39 × 4,111.73
  4. Step 4: Simplify right side
    13,471.65x = 83,091,402.74
  5. Step 5: Solve for x
    x = 83,091,402.74/13,471.65
  6. Step 6: Final answer
    x = 6,167.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.