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Finding the Fourth Proportional to 17,089.50, 25,635.21 and 4,778.46

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Solution

The fourth proportional to 17,089.50, 25,635.21 and 4,778.46 is: 7,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.50 : 25,635.21 = 4,778.46 : x
  2. Step 2: Convert to fraction form
    17,089.50/25,635.21 = 4,778.46/x
  3. Step 3: Cross multiply
    17,089.50x = 25,635.21 × 4,778.46
  4. Step 4: Simplify right side
    17,089.50x = 122,496,825.58
  5. Step 5: Solve for x
    x = 122,496,825.58/17,089.50
  6. Step 6: Final answer
    x = 7,167.96

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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.