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Finding the Fourth Proportional to 13,226.64, 18,251.78 and 7,257.36

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Solution

The fourth proportional to 13,226.64, 18,251.78 and 7,257.36 is: 10,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.64 : 18,251.78 = 7,257.36 : x
  2. Step 2: Convert to fraction form
    13,226.64/18,251.78 = 7,257.36/x
  3. Step 3: Cross multiply
    13,226.64x = 18,251.78 × 7,257.36
  4. Step 4: Simplify right side
    13,226.64x = 132,459,738.10
  5. Step 5: Solve for x
    x = 132,459,738.10/13,226.64
  6. Step 6: Final answer
    x = 10,014.62

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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.