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Finding the Fourth Proportional to 22,411.47, 33,617.21 and 6,829.23

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Solution

The fourth proportional to 22,411.47, 33,617.21 and 6,829.23 is: 10,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.47 : 33,617.21 = 6,829.23 : x
  2. Step 2: Convert to fraction form
    22,411.47/33,617.21 = 6,829.23/x
  3. Step 3: Cross multiply
    22,411.47x = 33,617.21 × 6,829.23
  4. Step 4: Simplify right side
    22,411.47x = 229,579,659.05
  5. Step 5: Solve for x
    x = 229,579,659.05/22,411.47
  6. Step 6: Final answer
    x = 10,243.85

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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.