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Finding the Fourth Proportional to 12,006.72, 18,036.09 and 10,161.54

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Solution

The fourth proportional to 12,006.72, 18,036.09 and 10,161.54 is: 15,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.72 : 18,036.09 = 10,161.54 : x
  2. Step 2: Convert to fraction form
    12,006.72/18,036.09 = 10,161.54/x
  3. Step 3: Cross multiply
    12,006.72x = 18,036.09 × 10,161.54
  4. Step 4: Simplify right side
    12,006.72x = 183,274,449.98
  5. Step 5: Solve for x
    x = 183,274,449.98/12,006.72
  6. Step 6: Final answer
    x = 15,264.32

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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.