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Finding the Fourth Proportional to 23,894.12, 35,844.42 and 8,309.72

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Solution

The fourth proportional to 23,894.12, 35,844.42 and 8,309.72 is: 12,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.12 : 35,844.42 = 8,309.72 : x
  2. Step 2: Convert to fraction form
    23,894.12/35,844.42 = 8,309.72/x
  3. Step 3: Cross multiply
    23,894.12x = 35,844.42 × 8,309.72
  4. Step 4: Simplify right side
    23,894.12x = 297,857,093.76
  5. Step 5: Solve for x
    x = 297,857,093.76/23,894.12
  6. Step 6: Final answer
    x = 12,465.71

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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.