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Finding the Fourth Proportional to 13,224, 19,845.12 and 5,016

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Solution

The fourth proportional to 13,224, 19,845.12 and 5,016 is: 7,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 19,845.12 = 5,016 : x
  2. Step 2: Convert to fraction form
    13,224/19,845.12 = 5,016/x
  3. Step 3: Cross multiply
    13,224x = 19,845.12 × 5,016
  4. Step 4: Simplify right side
    13,224x = 99,543,121.92
  5. Step 5: Solve for x
    x = 99,543,121.92/13,224
  6. Step 6: Final answer
    x = 7,527.46

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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.