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Finding the Fourth Proportional to 22,532.96, 33,770.28 and 10,839.80

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Solution

The fourth proportional to 22,532.96, 33,770.28 and 10,839.80 is: 16,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.96 : 33,770.28 = 10,839.80 : x
  2. Step 2: Convert to fraction form
    22,532.96/33,770.28 = 10,839.80/x
  3. Step 3: Cross multiply
    22,532.96x = 33,770.28 × 10,839.80
  4. Step 4: Simplify right side
    22,532.96x = 366,063,081.14
  5. Step 5: Solve for x
    x = 366,063,081.14/22,532.96
  6. Step 6: Final answer
    x = 16,245.67

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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.