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Finding the Fourth Proportional to 12,006.24, 18,004.78 and 5,764.48

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Solution

The fourth proportional to 12,006.24, 18,004.78 and 5,764.48 is: 8,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.24 : 18,004.78 = 5,764.48 : x
  2. Step 2: Convert to fraction form
    12,006.24/18,004.78 = 5,764.48/x
  3. Step 3: Cross multiply
    12,006.24x = 18,004.78 × 5,764.48
  4. Step 4: Simplify right side
    12,006.24x = 103,788,194.21
  5. Step 5: Solve for x
    x = 103,788,194.21/12,006.24
  6. Step 6: Final answer
    x = 8,644.52

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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.