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Finding the Fourth Proportional to 17,778.92, 26,684.84 and 12,825.48

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Solution

The fourth proportional to 17,778.92, 26,684.84 and 12,825.48 is: 19,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.92 : 26,684.84 = 12,825.48 : x
  2. Step 2: Convert to fraction form
    17,778.92/26,684.84 = 12,825.48/x
  3. Step 3: Cross multiply
    17,778.92x = 26,684.84 × 12,825.48
  4. Step 4: Simplify right side
    17,778.92x = 342,245,881.72
  5. Step 5: Solve for x
    x = 342,245,881.72/17,778.92
  6. Step 6: Final answer
    x = 19,250.09

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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.