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Finding the Fourth Proportional to 21,853.52, 32,784.44 and 8,003.28

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Solution

The fourth proportional to 21,853.52, 32,784.44 and 8,003.28 is: 12,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.52 : 32,784.44 = 8,003.28 : x
  2. Step 2: Convert to fraction form
    21,853.52/32,784.44 = 8,003.28/x
  3. Step 3: Cross multiply
    21,853.52x = 32,784.44 × 8,003.28
  4. Step 4: Simplify right side
    21,853.52x = 262,383,052.96
  5. Step 5: Solve for x
    x = 262,383,052.96/21,853.52
  6. Step 6: Final answer
    x = 12,006.44

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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.