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Finding the Fourth Proportional to 23,782.86, 35,696.43 and 12,104.82

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Solution

The fourth proportional to 23,782.86, 35,696.43 and 12,104.82 is: 18,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.86 : 35,696.43 = 12,104.82 : x
  2. Step 2: Convert to fraction form
    23,782.86/35,696.43 = 12,104.82/x
  3. Step 3: Cross multiply
    23,782.86x = 35,696.43 × 12,104.82
  4. Step 4: Simplify right side
    23,782.86x = 432,098,859.79
  5. Step 5: Solve for x
    x = 432,098,859.79/23,782.86
  6. Step 6: Final answer
    x = 18,168.50

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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.