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Finding the Fourth Proportional to 23,406.01, 35,115.17 and 8,414.65

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Solution

The fourth proportional to 23,406.01, 35,115.17 and 8,414.65 is: 12,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.01 : 35,115.17 = 8,414.65 : x
  2. Step 2: Convert to fraction form
    23,406.01/35,115.17 = 8,414.65/x
  3. Step 3: Cross multiply
    23,406.01x = 35,115.17 × 8,414.65
  4. Step 4: Simplify right side
    23,406.01x = 295,481,865.24
  5. Step 5: Solve for x
    x = 295,481,865.24/23,406.01
  6. Step 6: Final answer
    x = 12,624.19

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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.