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Finding the Fourth Proportional to 22,415.64, 33,623.46 and 22,383.24

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Solution

The fourth proportional to 22,415.64, 33,623.46 and 22,383.24 is: 33,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.64 : 33,623.46 = 22,383.24 : x
  2. Step 2: Convert to fraction form
    22,415.64/33,623.46 = 22,383.24/x
  3. Step 3: Cross multiply
    22,415.64x = 33,623.46 × 22,383.24
  4. Step 4: Simplify right side
    22,415.64x = 752,601,974.81
  5. Step 5: Solve for x
    x = 752,601,974.81/22,415.64
  6. Step 6: Final answer
    x = 33,574.86

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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.