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Finding the Fourth Proportional to 13,226.09, 18,251.99 and 7,257.77

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Solution

The fourth proportional to 13,226.09, 18,251.99 and 7,257.77 is: 10,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.09 : 18,251.99 = 7,257.77 : x
  2. Step 2: Convert to fraction form
    13,226.09/18,251.99 = 7,257.77/x
  3. Step 3: Cross multiply
    13,226.09x = 18,251.99 × 7,257.77
  4. Step 4: Simplify right side
    13,226.09x = 132,468,617.91
  5. Step 5: Solve for x
    x = 132,468,617.91/13,226.09
  6. Step 6: Final answer
    x = 10,015.71

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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.