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Finding the Fourth Proportional to 16,220.21, 22,383.89 and 9,146.63

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Solution

The fourth proportional to 16,220.21, 22,383.89 and 9,146.63 is: 12,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.21 : 22,383.89 = 9,146.63 : x
  2. Step 2: Convert to fraction form
    16,220.21/22,383.89 = 9,146.63/x
  3. Step 3: Cross multiply
    16,220.21x = 22,383.89 × 9,146.63
  4. Step 4: Simplify right side
    16,220.21x = 204,737,086.08
  5. Step 5: Solve for x
    x = 204,737,086.08/16,220.21
  6. Step 6: Final answer
    x = 12,622.35

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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.