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Finding the Fourth Proportional to 16,267.88, 22,449.84 and 9,194.24

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Solution

The fourth proportional to 16,267.88, 22,449.84 and 9,194.24 is: 12,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.88 : 22,449.84 = 9,194.24 : x
  2. Step 2: Convert to fraction form
    16,267.88/22,449.84 = 9,194.24/x
  3. Step 3: Cross multiply
    16,267.88x = 22,449.84 × 9,194.24
  4. Step 4: Simplify right side
    16,267.88x = 206,409,216.92
  5. Step 5: Solve for x
    x = 206,409,216.92/16,267.88
  6. Step 6: Final answer
    x = 12,688.14

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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.