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Finding the Fourth Proportional to 22,641.18, 33,966.56 and 6,847.39

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Solution

The fourth proportional to 22,641.18, 33,966.56 and 6,847.39 is: 10,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.18 : 33,966.56 = 6,847.39 : x
  2. Step 2: Convert to fraction form
    22,641.18/33,966.56 = 6,847.39/x
  3. Step 3: Cross multiply
    22,641.18x = 33,966.56 × 6,847.39
  4. Step 4: Simplify right side
    22,641.18x = 232,582,283.28
  5. Step 5: Solve for x
    x = 232,582,283.28/22,641.18
  6. Step 6: Final answer
    x = 10,272.53

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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.