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Finding the Fourth Proportional to 22,198.06, 30,633.39 and 12,766

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Solution

The fourth proportional to 22,198.06, 30,633.39 and 12,766 is: 17,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.06 : 30,633.39 = 12,766 : x
  2. Step 2: Convert to fraction form
    22,198.06/30,633.39 = 12,766/x
  3. Step 3: Cross multiply
    22,198.06x = 30,633.39 × 12,766
  4. Step 4: Simplify right side
    22,198.06x = 391,065,856.74
  5. Step 5: Solve for x
    x = 391,065,856.74/22,198.06
  6. Step 6: Final answer
    x = 17,617.12

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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.