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Finding the Fourth Proportional to 26,997.60, 40,499.82 and 9,231.67

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Solution

The fourth proportional to 26,997.60, 40,499.82 and 9,231.67 is: 13,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997.60 : 40,499.82 = 9,231.67 : x
  2. Step 2: Convert to fraction form
    26,997.60/40,499.82 = 9,231.67/x
  3. Step 3: Cross multiply
    26,997.60x = 40,499.82 × 9,231.67
  4. Step 4: Simplify right side
    26,997.60x = 373,881,049.89
  5. Step 5: Solve for x
    x = 373,881,049.89/26,997.60
  6. Step 6: Final answer
    x = 13,848.68

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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.