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Finding the Fourth Proportional to 12,211.96, 18,294.68 and 7,266.64

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Solution

The fourth proportional to 12,211.96, 18,294.68 and 7,266.64 is: 10,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.96 : 18,294.68 = 7,266.64 : x
  2. Step 2: Convert to fraction form
    12,211.96/18,294.68 = 7,266.64/x
  3. Step 3: Cross multiply
    12,211.96x = 18,294.68 × 7,266.64
  4. Step 4: Simplify right side
    12,211.96x = 132,940,853.48
  5. Step 5: Solve for x
    x = 132,940,853.48/12,211.96
  6. Step 6: Final answer
    x = 10,886.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.