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Finding the Fourth Proportional to 12,006.46, 18,007.59 and 5,431.10

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Solution

The fourth proportional to 12,006.46, 18,007.59 and 5,431.10 is: 8,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.46 : 18,007.59 = 5,431.10 : x
  2. Step 2: Convert to fraction form
    12,006.46/18,007.59 = 5,431.10/x
  3. Step 3: Cross multiply
    12,006.46x = 18,007.59 × 5,431.10
  4. Step 4: Simplify right side
    12,006.46x = 97,801,022.05
  5. Step 5: Solve for x
    x = 97,801,022.05/12,006.46
  6. Step 6: Final answer
    x = 8,145.70

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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.