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Finding the Fourth Proportional to 17,234.69, 25,829.68 and 7,739.99

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Solution

The fourth proportional to 17,234.69, 25,829.68 and 7,739.99 is: 11,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.69 : 25,829.68 = 7,739.99 : x
  2. Step 2: Convert to fraction form
    17,234.69/25,829.68 = 7,739.99/x
  3. Step 3: Cross multiply
    17,234.69x = 25,829.68 × 7,739.99
  4. Step 4: Simplify right side
    17,234.69x = 199,921,464.90
  5. Step 5: Solve for x
    x = 199,921,464.90/17,234.69
  6. Step 6: Final answer
    x = 11,599.95

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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.