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Finding the Fourth Proportional to 12,096.96, 18,151.20 and 5,435.52

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Solution

The fourth proportional to 12,096.96, 18,151.20 and 5,435.52 is: 8,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.96 : 18,151.20 = 5,435.52 : x
  2. Step 2: Convert to fraction form
    12,096.96/18,151.20 = 5,435.52/x
  3. Step 3: Cross multiply
    12,096.96x = 18,151.20 × 5,435.52
  4. Step 4: Simplify right side
    12,096.96x = 98,661,210.62
  5. Step 5: Solve for x
    x = 98,661,210.62/12,096.96
  6. Step 6: Final answer
    x = 8,155.87

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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.