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Finding the Fourth Proportional to 17,165.61, 25,704.63 and 8,377.50

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Solution

The fourth proportional to 17,165.61, 25,704.63 and 8,377.50 is: 12,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.61 : 25,704.63 = 8,377.50 : x
  2. Step 2: Convert to fraction form
    17,165.61/25,704.63 = 8,377.50/x
  3. Step 3: Cross multiply
    17,165.61x = 25,704.63 × 8,377.50
  4. Step 4: Simplify right side
    17,165.61x = 215,340,537.83
  5. Step 5: Solve for x
    x = 215,340,537.83/17,165.61
  6. Step 6: Final answer
    x = 12,544.88

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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.