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Finding the Fourth Proportional to 23,815.08, 35,722.08 and 6,286.14

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Solution

The fourth proportional to 23,815.08, 35,722.08 and 6,286.14 is: 9,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.08 : 35,722.08 = 6,286.14 : x
  2. Step 2: Convert to fraction form
    23,815.08/35,722.08 = 6,286.14/x
  3. Step 3: Cross multiply
    23,815.08x = 35,722.08 × 6,286.14
  4. Step 4: Simplify right side
    23,815.08x = 224,553,995.97
  5. Step 5: Solve for x
    x = 224,553,995.97/23,815.08
  6. Step 6: Final answer
    x = 9,429.07

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