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Finding the Fourth Proportional to 12,136.05, 18,203.28 and 7,456.78

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Solution

The fourth proportional to 12,136.05, 18,203.28 and 7,456.78 is: 11,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.05 : 18,203.28 = 7,456.78 : x
  2. Step 2: Convert to fraction form
    12,136.05/18,203.28 = 7,456.78/x
  3. Step 3: Cross multiply
    12,136.05x = 18,203.28 × 7,456.78
  4. Step 4: Simplify right side
    12,136.05x = 135,737,942.17
  5. Step 5: Solve for x
    x = 135,737,942.17/12,136.05
  6. Step 6: Final answer
    x = 11,184.69

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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.