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Finding the Fourth Proportional to 22,771.80, 34,162.38 and 9,624.24

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Solution

The fourth proportional to 22,771.80, 34,162.38 and 9,624.24 is: 14,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.80 : 34,162.38 = 9,624.24 : x
  2. Step 2: Convert to fraction form
    22,771.80/34,162.38 = 9,624.24/x
  3. Step 3: Cross multiply
    22,771.80x = 34,162.38 × 9,624.24
  4. Step 4: Simplify right side
    22,771.80x = 328,786,944.09
  5. Step 5: Solve for x
    x = 328,786,944.09/22,771.80
  6. Step 6: Final answer
    x = 14,438.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.