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Finding the Fourth Proportional to 13,838.01, 20,763.97 and 5,534.25

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Solution

The fourth proportional to 13,838.01, 20,763.97 and 5,534.25 is: 8,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.01 : 20,763.97 = 5,534.25 : x
  2. Step 2: Convert to fraction form
    13,838.01/20,763.97 = 5,534.25/x
  3. Step 3: Cross multiply
    13,838.01x = 20,763.97 × 5,534.25
  4. Step 4: Simplify right side
    13,838.01x = 114,912,983.24
  5. Step 5: Solve for x
    x = 114,912,983.24/13,838.01
  6. Step 6: Final answer
    x = 8,304.15

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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.