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Finding the Fourth Proportional to 12,007.24, 18,006.28 and 5,765.48

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Solution

The fourth proportional to 12,007.24, 18,006.28 and 5,765.48 is: 8,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.24 : 18,006.28 = 5,765.48 : x
  2. Step 2: Convert to fraction form
    12,007.24/18,006.28 = 5,765.48/x
  3. Step 3: Cross multiply
    12,007.24x = 18,006.28 × 5,765.48
  4. Step 4: Simplify right side
    12,007.24x = 103,814,847.21
  5. Step 5: Solve for x
    x = 103,814,847.21/12,007.24
  6. Step 6: Final answer
    x = 8,646.02

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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.