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Finding the Fourth Proportional to 15,704.67, 23,576.99 and 10,181.13

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Solution

The fourth proportional to 15,704.67, 23,576.99 and 10,181.13 is: 15,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.67 : 23,576.99 = 10,181.13 : x
  2. Step 2: Convert to fraction form
    15,704.67/23,576.99 = 10,181.13/x
  3. Step 3: Cross multiply
    15,704.67x = 23,576.99 × 10,181.13
  4. Step 4: Simplify right side
    15,704.67x = 240,040,400.20
  5. Step 5: Solve for x
    x = 240,040,400.20/15,704.67
  6. Step 6: Final answer
    x = 15,284.65

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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.