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Finding the Fourth Proportional to 16,116.42, 22,241.79 and 9,043.14

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Solution

The fourth proportional to 16,116.42, 22,241.79 and 9,043.14 is: 12,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.42 : 22,241.79 = 9,043.14 : x
  2. Step 2: Convert to fraction form
    16,116.42/22,241.79 = 9,043.14/x
  3. Step 3: Cross multiply
    16,116.42x = 22,241.79 × 9,043.14
  4. Step 4: Simplify right side
    16,116.42x = 201,135,620.82
  5. Step 5: Solve for x
    x = 201,135,620.82/16,116.42
  6. Step 6: Final answer
    x = 12,480.17

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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.