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Finding the Fourth Proportional to 23,894.80, 35,832.48 and 10,743.64

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Solution

The fourth proportional to 23,894.80, 35,832.48 and 10,743.64 is: 16,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.80 : 35,832.48 = 10,743.64 : x
  2. Step 2: Convert to fraction form
    23,894.80/35,832.48 = 10,743.64/x
  3. Step 3: Cross multiply
    23,894.80x = 35,832.48 × 10,743.64
  4. Step 4: Simplify right side
    23,894.80x = 384,971,265.43
  5. Step 5: Solve for x
    x = 384,971,265.43/23,894.80
  6. Step 6: Final answer
    x = 16,111.09

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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.