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Finding the Fourth Proportional to 12,021.18, 16,580.37 and 8,035.38

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Solution

The fourth proportional to 12,021.18, 16,580.37 and 8,035.38 is: 11,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.18 : 16,580.37 = 8,035.38 : x
  2. Step 2: Convert to fraction form
    12,021.18/16,580.37 = 8,035.38/x
  3. Step 3: Cross multiply
    12,021.18x = 16,580.37 × 8,035.38
  4. Step 4: Simplify right side
    12,021.18x = 133,229,573.49
  5. Step 5: Solve for x
    x = 133,229,573.49/12,021.18
  6. Step 6: Final answer
    x = 11,082.90

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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.