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Finding the Fourth Proportional to 13,274.22, 18,318.56 and 7,306.44

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Solution

The fourth proportional to 13,274.22, 18,318.56 and 7,306.44 is: 10,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.22 : 18,318.56 = 7,306.44 : x
  2. Step 2: Convert to fraction form
    13,274.22/18,318.56 = 7,306.44/x
  3. Step 3: Cross multiply
    13,274.22x = 18,318.56 × 7,306.44
  4. Step 4: Simplify right side
    13,274.22x = 133,843,459.53
  5. Step 5: Solve for x
    x = 133,843,459.53/13,274.22
  6. Step 6: Final answer
    x = 10,082.96

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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.