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Finding the Fourth Proportional to 10,164.65, 15,252.44 and 9,694.44

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Solution

The fourth proportional to 10,164.65, 15,252.44 and 9,694.44 is: 14,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.65 : 15,252.44 = 9,694.44 : x
  2. Step 2: Convert to fraction form
    10,164.65/15,252.44 = 9,694.44/x
  3. Step 3: Cross multiply
    10,164.65x = 15,252.44 × 9,694.44
  4. Step 4: Simplify right side
    10,164.65x = 147,863,815.96
  5. Step 5: Solve for x
    x = 147,863,815.96/10,164.65
  6. Step 6: Final answer
    x = 14,546.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.