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Finding the Fourth Proportional to 22,284.97, 33,428.06 and 6,489.36

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Solution

The fourth proportional to 22,284.97, 33,428.06 and 6,489.36 is: 9,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.97 : 33,428.06 = 6,489.36 : x
  2. Step 2: Convert to fraction form
    22,284.97/33,428.06 = 6,489.36/x
  3. Step 3: Cross multiply
    22,284.97x = 33,428.06 × 6,489.36
  4. Step 4: Simplify right side
    22,284.97x = 216,926,715.44
  5. Step 5: Solve for x
    x = 216,926,715.44/22,284.97
  6. Step 6: Final answer
    x = 9,734.22

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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.