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Finding the Fourth Proportional to 15,801.92, 23,704.24 and 4,115.13

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Solution

The fourth proportional to 15,801.92, 23,704.24 and 4,115.13 is: 6,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.92 : 23,704.24 = 4,115.13 : x
  2. Step 2: Convert to fraction form
    15,801.92/23,704.24 = 4,115.13/x
  3. Step 3: Cross multiply
    15,801.92x = 23,704.24 × 4,115.13
  4. Step 4: Simplify right side
    15,801.92x = 97,546,029.15
  5. Step 5: Solve for x
    x = 97,546,029.15/15,801.92
  6. Step 6: Final answer
    x = 6,173.05

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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.