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Finding the Fourth Proportional to 12,122.33, 18,154.33 and 8,214.89

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Solution

The fourth proportional to 12,122.33, 18,154.33 and 8,214.89 is: 12,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.33 : 18,154.33 = 8,214.89 : x
  2. Step 2: Convert to fraction form
    12,122.33/18,154.33 = 8,214.89/x
  3. Step 3: Cross multiply
    12,122.33x = 18,154.33 × 8,214.89
  4. Step 4: Simplify right side
    12,122.33x = 149,135,712.66
  5. Step 5: Solve for x
    x = 149,135,712.66/12,122.33
  6. Step 6: Final answer
    x = 12,302.57

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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.