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Finding the Fourth Proportional to 17,222.52, 25,830.21 and 7,859.91

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Solution

The fourth proportional to 17,222.52, 25,830.21 and 7,859.91 is: 11,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.52 : 25,830.21 = 7,859.91 : x
  2. Step 2: Convert to fraction form
    17,222.52/25,830.21 = 7,859.91/x
  3. Step 3: Cross multiply
    17,222.52x = 25,830.21 × 7,859.91
  4. Step 4: Simplify right side
    17,222.52x = 203,023,125.88
  5. Step 5: Solve for x
    x = 203,023,125.88/17,222.52
  6. Step 6: Final answer
    x = 11,788.24

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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.