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Finding the Fourth Proportional to 21,978.75, 32,972.27 and 8,832.14

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Solution

The fourth proportional to 21,978.75, 32,972.27 and 8,832.14 is: 13,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.75 : 32,972.27 = 8,832.14 : x
  2. Step 2: Convert to fraction form
    21,978.75/32,972.27 = 8,832.14/x
  3. Step 3: Cross multiply
    21,978.75x = 32,972.27 × 8,832.14
  4. Step 4: Simplify right side
    21,978.75x = 291,215,704.76
  5. Step 5: Solve for x
    x = 291,215,704.76/21,978.75
  6. Step 6: Final answer
    x = 13,249.88

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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.