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Finding the Fourth Proportional to 22,624.20, 33,928.17 and 7,829.10

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Solution

The fourth proportional to 22,624.20, 33,928.17 and 7,829.10 is: 11,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.20 : 33,928.17 = 7,829.10 : x
  2. Step 2: Convert to fraction form
    22,624.20/33,928.17 = 7,829.10/x
  3. Step 3: Cross multiply
    22,624.20x = 33,928.17 × 7,829.10
  4. Step 4: Simplify right side
    22,624.20x = 265,627,035.75
  5. Step 5: Solve for x
    x = 265,627,035.75/22,624.20
  6. Step 6: Final answer
    x = 11,740.84

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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.