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Finding the Fourth Proportional to 12,006.69, 18,014.76 and 6,080.33

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Solution

The fourth proportional to 12,006.69, 18,014.76 and 6,080.33 is: 9,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.69 : 18,014.76 = 6,080.33 : x
  2. Step 2: Convert to fraction form
    12,006.69/18,014.76 = 6,080.33/x
  3. Step 3: Cross multiply
    12,006.69x = 18,014.76 × 6,080.33
  4. Step 4: Simplify right side
    12,006.69x = 109,535,595.60
  5. Step 5: Solve for x
    x = 109,535,595.60/12,006.69
  6. Step 6: Final answer
    x = 9,122.88

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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.