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Finding the Fourth Proportional to 22,627.26, 33,943.20 and 7,836.16

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Solution

The fourth proportional to 22,627.26, 33,943.20 and 7,836.16 is: 11,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.26 : 33,943.20 = 7,836.16 : x
  2. Step 2: Convert to fraction form
    22,627.26/33,943.20 = 7,836.16/x
  3. Step 3: Cross multiply
    22,627.26x = 33,943.20 × 7,836.16
  4. Step 4: Simplify right side
    22,627.26x = 265,984,346.11
  5. Step 5: Solve for x
    x = 265,984,346.11/22,627.26
  6. Step 6: Final answer
    x = 11,755.04

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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.