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Finding the Fourth Proportional to 13,919.49, 20,856.24 and 10,223.19

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Solution

The fourth proportional to 13,919.49, 20,856.24 and 10,223.19 is: 15,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.49 : 20,856.24 = 10,223.19 : x
  2. Step 2: Convert to fraction form
    13,919.49/20,856.24 = 10,223.19/x
  3. Step 3: Cross multiply
    13,919.49x = 20,856.24 × 10,223.19
  4. Step 4: Simplify right side
    13,919.49x = 213,217,304.21
  5. Step 5: Solve for x
    x = 213,217,304.21/13,919.49
  6. Step 6: Final answer
    x = 15,317.90

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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.