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Finding the Fourth Proportional to 13,649.14, 20,469.93 and 3,787.66

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Solution

The fourth proportional to 13,649.14, 20,469.93 and 3,787.66 is: 5,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.14 : 20,469.93 = 3,787.66 : x
  2. Step 2: Convert to fraction form
    13,649.14/20,469.93 = 3,787.66/x
  3. Step 3: Cross multiply
    13,649.14x = 20,469.93 × 3,787.66
  4. Step 4: Simplify right side
    13,649.14x = 77,533,135.06
  5. Step 5: Solve for x
    x = 77,533,135.06/13,649.14
  6. Step 6: Final answer
    x = 5,680.44

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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.