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Finding the Fourth Proportional to 22,295.74, 33,431.52 and 9,801.15

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Solution

The fourth proportional to 22,295.74, 33,431.52 and 9,801.15 is: 14,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.74 : 33,431.52 = 9,801.15 : x
  2. Step 2: Convert to fraction form
    22,295.74/33,431.52 = 9,801.15/x
  3. Step 3: Cross multiply
    22,295.74x = 33,431.52 × 9,801.15
  4. Step 4: Simplify right side
    22,295.74x = 327,667,342.25
  5. Step 5: Solve for x
    x = 327,667,342.25/22,295.74
  6. Step 6: Final answer
    x = 14,696.41

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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.