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Finding the Fourth Proportional to 12,035, 16,608.30 and 7,318.38

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Solution

The fourth proportional to 12,035, 16,608.30 and 7,318.38 is: 10,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035 : 16,608.30 = 7,318.38 : x
  2. Step 2: Convert to fraction form
    12,035/16,608.30 = 7,318.38/x
  3. Step 3: Cross multiply
    12,035x = 16,608.30 × 7,318.38
  4. Step 4: Simplify right side
    12,035x = 121,545,850.55
  5. Step 5: Solve for x
    x = 121,545,850.55/12,035
  6. Step 6: Final answer
    x = 10,099.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.