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Finding the Fourth Proportional to 22,221.82, 30,654.58 and 16,165.25

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Solution

The fourth proportional to 22,221.82, 30,654.58 and 16,165.25 is: 22,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.82 : 30,654.58 = 16,165.25 : x
  2. Step 2: Convert to fraction form
    22,221.82/30,654.58 = 16,165.25/x
  3. Step 3: Cross multiply
    22,221.82x = 30,654.58 × 16,165.25
  4. Step 4: Simplify right side
    22,221.82x = 495,538,949.35
  5. Step 5: Solve for x
    x = 495,538,949.35/22,221.82
  6. Step 6: Final answer
    x = 22,299.66

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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.