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Finding the Fourth Proportional to 26,380.50, 36,405.12 and 17,997

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Solution

The fourth proportional to 26,380.50, 36,405.12 and 17,997 is: 24,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.50 : 36,405.12 = 17,997 : x
  2. Step 2: Convert to fraction form
    26,380.50/36,405.12 = 17,997/x
  3. Step 3: Cross multiply
    26,380.50x = 36,405.12 × 17,997
  4. Step 4: Simplify right side
    26,380.50x = 655,182,944.64
  5. Step 5: Solve for x
    x = 655,182,944.64/26,380.50
  6. Step 6: Final answer
    x = 24,835.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.