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Finding the Fourth Proportional to 13,206.68, 18,224.83 and 7,238.24

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Solution

The fourth proportional to 13,206.68, 18,224.83 and 7,238.24 is: 9,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.68 : 18,224.83 = 7,238.24 : x
  2. Step 2: Convert to fraction form
    13,206.68/18,224.83 = 7,238.24/x
  3. Step 3: Cross multiply
    13,206.68x = 18,224.83 × 7,238.24
  4. Step 4: Simplify right side
    13,206.68x = 131,915,584.28
  5. Step 5: Solve for x
    x = 131,915,584.28/13,206.68
  6. Step 6: Final answer
    x = 9,988.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.