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Finding the Fourth Proportional to 12,676.44, 19,002 and 6,001.02

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Solution

The fourth proportional to 12,676.44, 19,002 and 6,001.02 is: 8,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.44 : 19,002 = 6,001.02 : x
  2. Step 2: Convert to fraction form
    12,676.44/19,002 = 6,001.02/x
  3. Step 3: Cross multiply
    12,676.44x = 19,002 × 6,001.02
  4. Step 4: Simplify right side
    12,676.44x = 114,031,382.04
  5. Step 5: Solve for x
    x = 114,031,382.04/12,676.44
  6. Step 6: Final answer
    x = 8,995.54

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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.