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Finding the Fourth Proportional to 21,380.25, 32,062.14 and 8,906.16

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Solution

The fourth proportional to 21,380.25, 32,062.14 and 8,906.16 is: 13,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.25 : 32,062.14 = 8,906.16 : x
  2. Step 2: Convert to fraction form
    21,380.25/32,062.14 = 8,906.16/x
  3. Step 3: Cross multiply
    21,380.25x = 32,062.14 × 8,906.16
  4. Step 4: Simplify right side
    21,380.25x = 285,550,548.78
  5. Step 5: Solve for x
    x = 285,550,548.78/21,380.25
  6. Step 6: Final answer
    x = 13,355.81

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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.