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Finding the Fourth Proportional to 14,997.06, 22,509.24 and 7,982.96

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Solution

The fourth proportional to 14,997.06, 22,509.24 and 7,982.96 is: 11,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.06 : 22,509.24 = 7,982.96 : x
  2. Step 2: Convert to fraction form
    14,997.06/22,509.24 = 7,982.96/x
  3. Step 3: Cross multiply
    14,997.06x = 22,509.24 × 7,982.96
  4. Step 4: Simplify right side
    14,997.06x = 179,690,362.55
  5. Step 5: Solve for x
    x = 179,690,362.55/14,997.06
  6. Step 6: Final answer
    x = 11,981.71

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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.