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Finding the Fourth Proportional to 21,671.48, 32,512.19 and 9,191.97

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Solution

The fourth proportional to 21,671.48, 32,512.19 and 9,191.97 is: 13,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.48 : 32,512.19 = 9,191.97 : x
  2. Step 2: Convert to fraction form
    21,671.48/32,512.19 = 9,191.97/x
  3. Step 3: Cross multiply
    21,671.48x = 32,512.19 × 9,191.97
  4. Step 4: Simplify right side
    21,671.48x = 298,851,029.15
  5. Step 5: Solve for x
    x = 298,851,029.15/21,671.48
  6. Step 6: Final answer
    x = 13,790.06

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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.