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Finding the Fourth Proportional to 13,198.71, 18,209.66 and 7,529.37

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Solution

The fourth proportional to 13,198.71, 18,209.66 and 7,529.37 is: 10,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.71 : 18,209.66 = 7,529.37 : x
  2. Step 2: Convert to fraction form
    13,198.71/18,209.66 = 7,529.37/x
  3. Step 3: Cross multiply
    13,198.71x = 18,209.66 × 7,529.37
  4. Step 4: Simplify right side
    13,198.71x = 137,107,195.49
  5. Step 5: Solve for x
    x = 137,107,195.49/13,198.71
  6. Step 6: Final answer
    x = 10,387.93

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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.