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Finding the Fourth Proportional to 22,814.35, 34,223.69 and 9,484.54

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Solution

The fourth proportional to 22,814.35, 34,223.69 and 9,484.54 is: 14,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.35 : 34,223.69 = 9,484.54 : x
  2. Step 2: Convert to fraction form
    22,814.35/34,223.69 = 9,484.54/x
  3. Step 3: Cross multiply
    22,814.35x = 34,223.69 × 9,484.54
  4. Step 4: Simplify right side
    22,814.35x = 324,595,956.75
  5. Step 5: Solve for x
    x = 324,595,956.75/22,814.35
  6. Step 6: Final answer
    x = 14,227.71

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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.