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Finding the Fourth Proportional to 13,195.34, 18,209.81 and 7,226.63

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Solution

The fourth proportional to 13,195.34, 18,209.81 and 7,226.63 is: 9,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.34 : 18,209.81 = 7,226.63 : x
  2. Step 2: Convert to fraction form
    13,195.34/18,209.81 = 7,226.63/x
  3. Step 3: Cross multiply
    13,195.34x = 18,209.81 × 7,226.63
  4. Step 4: Simplify right side
    13,195.34x = 131,595,459.43
  5. Step 5: Solve for x
    x = 131,595,459.43/13,195.34
  6. Step 6: Final answer
    x = 9,972.87

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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.