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Finding the Fourth Proportional to 13,929.49, 20,896.19 and 4,069.49

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Solution

The fourth proportional to 13,929.49, 20,896.19 and 4,069.49 is: 6,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.49 : 20,896.19 = 4,069.49 : x
  2. Step 2: Convert to fraction form
    13,929.49/20,896.19 = 4,069.49/x
  3. Step 3: Cross multiply
    13,929.49x = 20,896.19 × 4,069.49
  4. Step 4: Simplify right side
    13,929.49x = 85,036,836.24
  5. Step 5: Solve for x
    x = 85,036,836.24/13,929.49
  6. Step 6: Final answer
    x = 6,104.81

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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.