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Finding the Fourth Proportional to 16,264.80, 22,446.36 and 9,193.68

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Solution

The fourth proportional to 16,264.80, 22,446.36 and 9,193.68 is: 12,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.80 : 22,446.36 = 9,193.68 : x
  2. Step 2: Convert to fraction form
    16,264.80/22,446.36 = 9,193.68/x
  3. Step 3: Cross multiply
    16,264.80x = 22,446.36 × 9,193.68
  4. Step 4: Simplify right side
    16,264.80x = 206,364,651.00
  5. Step 5: Solve for x
    x = 206,364,651.00/16,264.80
  6. Step 6: Final answer
    x = 12,687.81

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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.