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Finding the Fourth Proportional to 12,027.86, 16,597.70 and 6,650.16

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Solution

The fourth proportional to 12,027.86, 16,597.70 and 6,650.16 is: 9,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.86 : 16,597.70 = 6,650.16 : x
  2. Step 2: Convert to fraction form
    12,027.86/16,597.70 = 6,650.16/x
  3. Step 3: Cross multiply
    12,027.86x = 16,597.70 × 6,650.16
  4. Step 4: Simplify right side
    12,027.86x = 110,377,327.38
  5. Step 5: Solve for x
    x = 110,377,327.38/12,027.86
  6. Step 6: Final answer
    x = 9,176.80

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Why These Related Problems?

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