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Finding the Fourth Proportional to 17,078.50, 25,603.85 and 11,461.96

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Solution

The fourth proportional to 17,078.50, 25,603.85 and 11,461.96 is: 17,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.50 : 25,603.85 = 11,461.96 : x
  2. Step 2: Convert to fraction form
    17,078.50/25,603.85 = 11,461.96/x
  3. Step 3: Cross multiply
    17,078.50x = 25,603.85 × 11,461.96
  4. Step 4: Simplify right side
    17,078.50x = 293,470,247.24
  5. Step 5: Solve for x
    x = 293,470,247.24/17,078.50
  6. Step 6: Final answer
    x = 17,183.61

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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.