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Finding the Fourth Proportional to 23,979.50, 35,969.31 and 8,393.48

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Solution

The fourth proportional to 23,979.50, 35,969.31 and 8,393.48 is: 12,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,979.50 : 35,969.31 = 8,393.48 : x
  2. Step 2: Convert to fraction form
    23,979.50/35,969.31 = 8,393.48/x
  3. Step 3: Cross multiply
    23,979.50x = 35,969.31 × 8,393.48
  4. Step 4: Simplify right side
    23,979.50x = 301,907,684.10
  5. Step 5: Solve for x
    x = 301,907,684.10/23,979.50
  6. Step 6: Final answer
    x = 12,590.24

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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.