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Finding the Fourth Proportional to 13,414.65, 20,119.70 and 3,554.93

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Solution

The fourth proportional to 13,414.65, 20,119.70 and 3,554.93 is: 5,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.65 : 20,119.70 = 3,554.93 : x
  2. Step 2: Convert to fraction form
    13,414.65/20,119.70 = 3,554.93/x
  3. Step 3: Cross multiply
    13,414.65x = 20,119.70 × 3,554.93
  4. Step 4: Simplify right side
    13,414.65x = 71,524,006.75
  5. Step 5: Solve for x
    x = 71,524,006.75/13,414.65
  6. Step 6: Final answer
    x = 5,331.78

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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.