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Finding the Fourth Proportional to 21,446.64, 32,169.12 and 8,963.44

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Solution

The fourth proportional to 21,446.64, 32,169.12 and 8,963.44 is: 13,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.64 : 32,169.12 = 8,963.44 : x
  2. Step 2: Convert to fraction form
    21,446.64/32,169.12 = 8,963.44/x
  3. Step 3: Cross multiply
    21,446.64x = 32,169.12 × 8,963.44
  4. Step 4: Simplify right side
    21,446.64x = 288,345,976.97
  5. Step 5: Solve for x
    x = 288,345,976.97/21,446.64
  6. Step 6: Final answer
    x = 13,444.81

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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.