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Finding the Fourth Proportional to 22,381.74, 33,584.37 and 9,910.38

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Solution

The fourth proportional to 22,381.74, 33,584.37 and 9,910.38 is: 14,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.74 : 33,584.37 = 9,910.38 : x
  2. Step 2: Convert to fraction form
    22,381.74/33,584.37 = 9,910.38/x
  3. Step 3: Cross multiply
    22,381.74x = 33,584.37 × 9,910.38
  4. Step 4: Simplify right side
    22,381.74x = 332,833,868.76
  5. Step 5: Solve for x
    x = 332,833,868.76/22,381.74
  6. Step 6: Final answer
    x = 14,870.78

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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.