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Finding the Fourth Proportional to 16,090.96, 22,206.75 and 9,286.20

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Solution

The fourth proportional to 16,090.96, 22,206.75 and 9,286.20 is: 12,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.96 : 22,206.75 = 9,286.20 : x
  2. Step 2: Convert to fraction form
    16,090.96/22,206.75 = 9,286.20/x
  3. Step 3: Cross multiply
    16,090.96x = 22,206.75 × 9,286.20
  4. Step 4: Simplify right side
    16,090.96x = 206,216,210.82
  5. Step 5: Solve for x
    x = 206,216,210.82/16,090.96
  6. Step 6: Final answer
    x = 12,815.66

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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.