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Finding the Fourth Proportional to 22,647.72, 33,958.50 and 8,780.52

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Solution

The fourth proportional to 22,647.72, 33,958.50 and 8,780.52 is: 13,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.72 : 33,958.50 = 8,780.52 : x
  2. Step 2: Convert to fraction form
    22,647.72/33,958.50 = 8,780.52/x
  3. Step 3: Cross multiply
    22,647.72x = 33,958.50 × 8,780.52
  4. Step 4: Simplify right side
    22,647.72x = 298,173,288.42
  5. Step 5: Solve for x
    x = 298,173,288.42/22,647.72
  6. Step 6: Final answer
    x = 13,165.71

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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.