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Finding the Fourth Proportional to 16,266.34, 22,446.21 and 9,194.50

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Solution

The fourth proportional to 16,266.34, 22,446.21 and 9,194.50 is: 12,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.34 : 22,446.21 = 9,194.50 : x
  2. Step 2: Convert to fraction form
    16,266.34/22,446.21 = 9,194.50/x
  3. Step 3: Cross multiply
    16,266.34x = 22,446.21 × 9,194.50
  4. Step 4: Simplify right side
    16,266.34x = 206,381,677.85
  5. Step 5: Solve for x
    x = 206,381,677.85/16,266.34
  6. Step 6: Final answer
    x = 12,687.65

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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.