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Finding the Fourth Proportional to 12,007.24, 16,577.94 and 7,822.60

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Solution

The fourth proportional to 12,007.24, 16,577.94 and 7,822.60 is: 10,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.24 : 16,577.94 = 7,822.60 : x
  2. Step 2: Convert to fraction form
    12,007.24/16,577.94 = 7,822.60/x
  3. Step 3: Cross multiply
    12,007.24x = 16,577.94 × 7,822.60
  4. Step 4: Simplify right side
    12,007.24x = 129,682,593.44
  5. Step 5: Solve for x
    x = 129,682,593.44/12,007.24
  6. Step 6: Final answer
    x = 10,800.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.