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Finding the Fourth Proportional to 23,884.52, 35,845.44 and 16,540.46

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Solution

The fourth proportional to 23,884.52, 35,845.44 and 16,540.46 is: 24,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.52 : 35,845.44 = 16,540.46 : x
  2. Step 2: Convert to fraction form
    23,884.52/35,845.44 = 16,540.46/x
  3. Step 3: Cross multiply
    23,884.52x = 35,845.44 × 16,540.46
  4. Step 4: Simplify right side
    23,884.52x = 592,900,066.50
  5. Step 5: Solve for x
    x = 592,900,066.50/23,884.52
  6. Step 6: Final answer
    x = 24,823.61

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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.