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Finding the Fourth Proportional to 16,265.71, 22,446.10 and 9,191.98

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Solution

The fourth proportional to 16,265.71, 22,446.10 and 9,191.98 is: 12,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.71 : 22,446.10 = 9,191.98 : x
  2. Step 2: Convert to fraction form
    16,265.71/22,446.10 = 9,191.98/x
  3. Step 3: Cross multiply
    16,265.71x = 22,446.10 × 9,191.98
  4. Step 4: Simplify right side
    16,265.71x = 206,324,102.28
  5. Step 5: Solve for x
    x = 206,324,102.28/16,265.71
  6. Step 6: Final answer
    x = 12,684.60

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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.