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Finding the Fourth Proportional to 17,065.67, 25,601.89 and 5,221.10

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Solution

The fourth proportional to 17,065.67, 25,601.89 and 5,221.10 is: 7,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.67 : 25,601.89 = 5,221.10 : x
  2. Step 2: Convert to fraction form
    17,065.67/25,601.89 = 5,221.10/x
  3. Step 3: Cross multiply
    17,065.67x = 25,601.89 × 5,221.10
  4. Step 4: Simplify right side
    17,065.67x = 133,670,078.83
  5. Step 5: Solve for x
    x = 133,670,078.83/17,065.67
  6. Step 6: Final answer
    x = 7,832.69

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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.