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Finding the Fourth Proportional to 12,027.38, 16,597.68 and 6,722.06

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Solution

The fourth proportional to 12,027.38, 16,597.68 and 6,722.06 is: 9,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.38 : 16,597.68 = 6,722.06 : x
  2. Step 2: Convert to fraction form
    12,027.38/16,597.68 = 6,722.06/x
  3. Step 3: Cross multiply
    12,027.38x = 16,597.68 × 6,722.06
  4. Step 4: Simplify right side
    12,027.38x = 111,570,600.82
  5. Step 5: Solve for x
    x = 111,570,600.82/12,027.38
  6. Step 6: Final answer
    x = 9,276.38

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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.