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Finding the Fourth Proportional to 23,461.78, 35,197.98 and 7,879

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Solution

The fourth proportional to 23,461.78, 35,197.98 and 7,879 is: 11,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.78 : 35,197.98 = 7,879 : x
  2. Step 2: Convert to fraction form
    23,461.78/35,197.98 = 7,879/x
  3. Step 3: Cross multiply
    23,461.78x = 35,197.98 × 7,879
  4. Step 4: Simplify right side
    23,461.78x = 277,324,884.42
  5. Step 5: Solve for x
    x = 277,324,884.42/23,461.78
  6. Step 6: Final answer
    x = 11,820.28

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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.