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Finding the Fourth Proportional to 12,196.67, 18,294.71 and 5,622.85

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Solution

The fourth proportional to 12,196.67, 18,294.71 and 5,622.85 is: 8,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.67 : 18,294.71 = 5,622.85 : x
  2. Step 2: Convert to fraction form
    12,196.67/18,294.71 = 5,622.85/x
  3. Step 3: Cross multiply
    12,196.67x = 18,294.71 × 5,622.85
  4. Step 4: Simplify right side
    12,196.67x = 102,868,410.12
  5. Step 5: Solve for x
    x = 102,868,410.12/12,196.67
  6. Step 6: Final answer
    x = 8,434.14

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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.