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Finding the Fourth Proportional to 16,788.95, 23,169.32 and 9,235.56

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Solution

The fourth proportional to 16,788.95, 23,169.32 and 9,235.56 is: 12,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788.95 : 23,169.32 = 9,235.56 : x
  2. Step 2: Convert to fraction form
    16,788.95/23,169.32 = 9,235.56/x
  3. Step 3: Cross multiply
    16,788.95x = 23,169.32 × 9,235.56
  4. Step 4: Simplify right side
    16,788.95x = 213,981,645.02
  5. Step 5: Solve for x
    x = 213,981,645.02/16,788.95
  6. Step 6: Final answer
    x = 12,745.39

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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.