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Finding the Fourth Proportional to 17,225.78, 25,836.15 and 8,217.86

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Solution

The fourth proportional to 17,225.78, 25,836.15 and 8,217.86 is: 12,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.78 : 25,836.15 = 8,217.86 : x
  2. Step 2: Convert to fraction form
    17,225.78/25,836.15 = 8,217.86/x
  3. Step 3: Cross multiply
    17,225.78x = 25,836.15 × 8,217.86
  4. Step 4: Simplify right side
    17,225.78x = 212,317,863.64
  5. Step 5: Solve for x
    x = 212,317,863.64/17,225.78
  6. Step 6: Final answer
    x = 12,325.59

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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.