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Finding the Fourth Proportional to 12,004.20, 18,006.30 and 5,767.20

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Solution

The fourth proportional to 12,004.20, 18,006.30 and 5,767.20 is: 8,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.20 : 18,006.30 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    12,004.20/18,006.30 = 5,767.20/x
  3. Step 3: Cross multiply
    12,004.20x = 18,006.30 × 5,767.20
  4. Step 4: Simplify right side
    12,004.20x = 103,845,933.36
  5. Step 5: Solve for x
    x = 103,845,933.36/12,004.20
  6. Step 6: Final answer
    x = 8,650.80

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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.