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Finding the Fourth Proportional to 22,323.42, 33,468.71 and 10,644.84

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Solution

The fourth proportional to 22,323.42, 33,468.71 and 10,644.84 is: 15,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.42 : 33,468.71 = 10,644.84 : x
  2. Step 2: Convert to fraction form
    22,323.42/33,468.71 = 10,644.84/x
  3. Step 3: Cross multiply
    22,323.42x = 33,468.71 × 10,644.84
  4. Step 4: Simplify right side
    22,323.42x = 356,269,009.73
  5. Step 5: Solve for x
    x = 356,269,009.73/22,323.42
  6. Step 6: Final answer
    x = 15,959.43

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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.