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Finding the Fourth Proportional to 13,424.46, 18,519.33 and 9,447.78

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Solution

The fourth proportional to 13,424.46, 18,519.33 and 9,447.78 is: 13,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.46 : 18,519.33 = 9,447.78 : x
  2. Step 2: Convert to fraction form
    13,424.46/18,519.33 = 9,447.78/x
  3. Step 3: Cross multiply
    13,424.46x = 18,519.33 × 9,447.78
  4. Step 4: Simplify right side
    13,424.46x = 174,966,555.59
  5. Step 5: Solve for x
    x = 174,966,555.59/13,424.46
  6. Step 6: Final answer
    x = 13,033.41

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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.