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Finding the Fourth Proportional to 22,205.39, 33,308.69 and 9,718.97

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Solution

The fourth proportional to 22,205.39, 33,308.69 and 9,718.97 is: 14,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.39 : 33,308.69 = 9,718.97 : x
  2. Step 2: Convert to fraction form
    22,205.39/33,308.69 = 9,718.97/x
  3. Step 3: Cross multiply
    22,205.39x = 33,308.69 × 9,718.97
  4. Step 4: Simplify right side
    22,205.39x = 323,725,943.71
  5. Step 5: Solve for x
    x = 323,725,943.71/22,205.39
  6. Step 6: Final answer
    x = 14,578.71

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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.