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Finding the Fourth Proportional to 13,864.30, 20,797.98 and 5,099.20

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Solution

The fourth proportional to 13,864.30, 20,797.98 and 5,099.20 is: 7,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.30 : 20,797.98 = 5,099.20 : x
  2. Step 2: Convert to fraction form
    13,864.30/20,797.98 = 5,099.20/x
  3. Step 3: Cross multiply
    13,864.30x = 20,797.98 × 5,099.20
  4. Step 4: Simplify right side
    13,864.30x = 106,053,059.62
  5. Step 5: Solve for x
    x = 106,053,059.62/13,864.30
  6. Step 6: Final answer
    x = 7,649.36

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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.