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Finding the Fourth Proportional to 12,027.24, 16,597.94 and 6,722.06

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Solution

The fourth proportional to 12,027.24, 16,597.94 and 6,722.06 is: 9,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.24 : 16,597.94 = 6,722.06 : x
  2. Step 2: Convert to fraction form
    12,027.24/16,597.94 = 6,722.06/x
  3. Step 3: Cross multiply
    12,027.24x = 16,597.94 × 6,722.06
  4. Step 4: Simplify right side
    12,027.24x = 111,572,348.56
  5. Step 5: Solve for x
    x = 111,572,348.56/12,027.24
  6. Step 6: Final answer
    x = 9,276.64

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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.