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Finding the Fourth Proportional to 15,704.63, 23,560.41 and 8,694.87

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Solution

The fourth proportional to 15,704.63, 23,560.41 and 8,694.87 is: 13,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.63 : 23,560.41 = 8,694.87 : x
  2. Step 2: Convert to fraction form
    15,704.63/23,560.41 = 8,694.87/x
  3. Step 3: Cross multiply
    15,704.63x = 23,560.41 × 8,694.87
  4. Step 4: Simplify right side
    15,704.63x = 204,854,702.10
  5. Step 5: Solve for x
    x = 204,854,702.10/15,704.63
  6. Step 6: Final answer
    x = 13,044.22

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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.