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Finding the Fourth Proportional to 13,878.40, 20,799.12 and 5,105.20

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Solution

The fourth proportional to 13,878.40, 20,799.12 and 5,105.20 is: 7,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.40 : 20,799.12 = 5,105.20 : x
  2. Step 2: Convert to fraction form
    13,878.40/20,799.12 = 5,105.20/x
  3. Step 3: Cross multiply
    13,878.40x = 20,799.12 × 5,105.20
  4. Step 4: Simplify right side
    13,878.40x = 106,183,667.42
  5. Step 5: Solve for x
    x = 106,183,667.42/13,878.40
  6. Step 6: Final answer
    x = 7,651.00

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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.