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Finding the Fourth Proportional to 13,838.19, 20,757.35 and 3,449.94

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Solution

The fourth proportional to 13,838.19, 20,757.35 and 3,449.94 is: 5,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.19 : 20,757.35 = 3,449.94 : x
  2. Step 2: Convert to fraction form
    13,838.19/20,757.35 = 3,449.94/x
  3. Step 3: Cross multiply
    13,838.19x = 20,757.35 × 3,449.94
  4. Step 4: Simplify right side
    13,838.19x = 71,611,612.06
  5. Step 5: Solve for x
    x = 71,611,612.06/13,838.19
  6. Step 6: Final answer
    x = 5,174.93

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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.