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Finding the Fourth Proportional to 21,489.63, 32,221.49 and 9,641.25

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Solution

The fourth proportional to 21,489.63, 32,221.49 and 9,641.25 is: 14,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.63 : 32,221.49 = 9,641.25 : x
  2. Step 2: Convert to fraction form
    21,489.63/32,221.49 = 9,641.25/x
  3. Step 3: Cross multiply
    21,489.63x = 32,221.49 × 9,641.25
  4. Step 4: Simplify right side
    21,489.63x = 310,655,392.26
  5. Step 5: Solve for x
    x = 310,655,392.26/21,489.63
  6. Step 6: Final answer
    x = 14,456.06

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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.