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Finding the Fourth Proportional to 16,038, 24,067.38 and 8,647.62

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Solution

The fourth proportional to 16,038, 24,067.38 and 8,647.62 is: 12,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 24,067.38 = 8,647.62 : x
  2. Step 2: Convert to fraction form
    16,038/24,067.38 = 8,647.62/x
  3. Step 3: Cross multiply
    16,038x = 24,067.38 × 8,647.62
  4. Step 4: Simplify right side
    16,038x = 208,125,556.64
  5. Step 5: Solve for x
    x = 208,125,556.64/16,038
  6. Step 6: Final answer
    x = 12,977.03

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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.