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Finding the Fourth Proportional to 16,638.10, 22,964.43 and 9,568.60

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Solution

The fourth proportional to 16,638.10, 22,964.43 and 9,568.60 is: 13,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.10 : 22,964.43 = 9,568.60 : x
  2. Step 2: Convert to fraction form
    16,638.10/22,964.43 = 9,568.60/x
  3. Step 3: Cross multiply
    16,638.10x = 22,964.43 × 9,568.60
  4. Step 4: Simplify right side
    16,638.10x = 219,737,444.90
  5. Step 5: Solve for x
    x = 219,737,444.90/16,638.10
  6. Step 6: Final answer
    x = 13,206.88

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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.