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Finding the Fourth Proportional to 12,026.78, 16,596.83 and 6,649.56

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Solution

The fourth proportional to 12,026.78, 16,596.83 and 6,649.56 is: 9,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.78 : 16,596.83 = 6,649.56 : x
  2. Step 2: Convert to fraction form
    12,026.78/16,596.83 = 6,649.56/x
  3. Step 3: Cross multiply
    12,026.78x = 16,596.83 × 6,649.56
  4. Step 4: Simplify right side
    12,026.78x = 110,361,616.89
  5. Step 5: Solve for x
    x = 110,361,616.89/12,026.78
  6. Step 6: Final answer
    x = 9,176.32

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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.