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Finding the Fourth Proportional to 13,057.68, 18,015.12 and 7,391.76

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Solution

The fourth proportional to 13,057.68, 18,015.12 and 7,391.76 is: 10,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.68 : 18,015.12 = 7,391.76 : x
  2. Step 2: Convert to fraction form
    13,057.68/18,015.12 = 7,391.76/x
  3. Step 3: Cross multiply
    13,057.68x = 18,015.12 × 7,391.76
  4. Step 4: Simplify right side
    13,057.68x = 133,163,443.41
  5. Step 5: Solve for x
    x = 133,163,443.41/13,057.68
  6. Step 6: Final answer
    x = 10,198.09

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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.