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Finding the Fourth Proportional to 13,399.47, 18,491.13 and 7,431.09

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Solution

The fourth proportional to 13,399.47, 18,491.13 and 7,431.09 is: 10,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.47 : 18,491.13 = 7,431.09 : x
  2. Step 2: Convert to fraction form
    13,399.47/18,491.13 = 7,431.09/x
  3. Step 3: Cross multiply
    13,399.47x = 18,491.13 × 7,431.09
  4. Step 4: Simplify right side
    13,399.47x = 137,409,251.23
  5. Step 5: Solve for x
    x = 137,409,251.23/13,399.47
  6. Step 6: Final answer
    x = 10,254.83

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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.