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Finding the Fourth Proportional to 23,894.76, 35,843.06 and 12,194.31

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Solution

The fourth proportional to 23,894.76, 35,843.06 and 12,194.31 is: 18,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.76 : 35,843.06 = 12,194.31 : x
  2. Step 2: Convert to fraction form
    23,894.76/35,843.06 = 12,194.31/x
  3. Step 3: Cross multiply
    23,894.76x = 35,843.06 × 12,194.31
  4. Step 4: Simplify right side
    23,894.76x = 437,081,324.02
  5. Step 5: Solve for x
    x = 437,081,324.02/23,894.76
  6. Step 6: Final answer
    x = 18,291.93

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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.