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Finding the Fourth Proportional to 13,902.72, 20,839.50 and 10,199.40

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Solution

The fourth proportional to 13,902.72, 20,839.50 and 10,199.40 is: 15,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.72 : 20,839.50 = 10,199.40 : x
  2. Step 2: Convert to fraction form
    13,902.72/20,839.50 = 10,199.40/x
  3. Step 3: Cross multiply
    13,902.72x = 20,839.50 × 10,199.40
  4. Step 4: Simplify right side
    13,902.72x = 212,550,396.30
  5. Step 5: Solve for x
    x = 212,550,396.30/13,902.72
  6. Step 6: Final answer
    x = 15,288.40

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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.