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Finding the Fourth Proportional to 16,654.30, 22,982.56 and 9,100.64

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Solution

The fourth proportional to 16,654.30, 22,982.56 and 9,100.64 is: 12,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.30 : 22,982.56 = 9,100.64 : x
  2. Step 2: Convert to fraction form
    16,654.30/22,982.56 = 9,100.64/x
  3. Step 3: Cross multiply
    16,654.30x = 22,982.56 × 9,100.64
  4. Step 4: Simplify right side
    16,654.30x = 209,156,039.54
  5. Step 5: Solve for x
    x = 209,156,039.54/16,654.30
  6. Step 6: Final answer
    x = 12,558.68

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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.