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Finding the Fourth Proportional to 22,641.53, 33,957.43 and 7,647.28

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Solution

The fourth proportional to 22,641.53, 33,957.43 and 7,647.28 is: 11,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.53 : 33,957.43 = 7,647.28 : x
  2. Step 2: Convert to fraction form
    22,641.53/33,957.43 = 7,647.28/x
  3. Step 3: Cross multiply
    22,641.53x = 33,957.43 × 7,647.28
  4. Step 4: Simplify right side
    22,641.53x = 259,681,871.28
  5. Step 5: Solve for x
    x = 259,681,871.28/22,641.53
  6. Step 6: Final answer
    x = 11,469.27

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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.