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Finding the Fourth Proportional to 12,208.86, 18,297.90 and 6,650.64

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Solution

The fourth proportional to 12,208.86, 18,297.90 and 6,650.64 is: 9,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.86 : 18,297.90 = 6,650.64 : x
  2. Step 2: Convert to fraction form
    12,208.86/18,297.90 = 6,650.64/x
  3. Step 3: Cross multiply
    12,208.86x = 18,297.90 × 6,650.64
  4. Step 4: Simplify right side
    12,208.86x = 121,692,745.66
  5. Step 5: Solve for x
    x = 121,692,745.66/12,208.86
  6. Step 6: Final answer
    x = 9,967.58

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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.