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Finding the Fourth Proportional to 12,014, 18,023.88 and 3,806

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Solution

The fourth proportional to 12,014, 18,023.88 and 3,806 is: 5,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014 : 18,023.88 = 3,806 : x
  2. Step 2: Convert to fraction form
    12,014/18,023.88 = 3,806/x
  3. Step 3: Cross multiply
    12,014x = 18,023.88 × 3,806
  4. Step 4: Simplify right side
    12,014x = 68,598,887.28
  5. Step 5: Solve for x
    x = 68,598,887.28/12,014
  6. Step 6: Final answer
    x = 5,709.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.