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Finding the Fourth Proportional to 12,096.96, 18,113.76 and 7,923.84

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Solution

The fourth proportional to 12,096.96, 18,113.76 and 7,923.84 is: 11,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.96 : 18,113.76 = 7,923.84 : x
  2. Step 2: Convert to fraction form
    12,096.96/18,113.76 = 7,923.84/x
  3. Step 3: Cross multiply
    12,096.96x = 18,113.76 × 7,923.84
  4. Step 4: Simplify right side
    12,096.96x = 143,530,536.04
  5. Step 5: Solve for x
    x = 143,530,536.04/12,096.96
  6. Step 6: Final answer
    x = 11,865.01

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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.