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Finding the Fourth Proportional to 21,481.52, 32,209.33 and 9,633.14

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Solution

The fourth proportional to 21,481.52, 32,209.33 and 9,633.14 is: 14,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.52 : 32,209.33 = 9,633.14 : x
  2. Step 2: Convert to fraction form
    21,481.52/32,209.33 = 9,633.14/x
  3. Step 3: Cross multiply
    21,481.52x = 32,209.33 × 9,633.14
  4. Step 4: Simplify right side
    21,481.52x = 310,277,041.64
  5. Step 5: Solve for x
    x = 310,277,041.64/21,481.52
  6. Step 6: Final answer
    x = 14,443.91

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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.