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Finding the Fourth Proportional to 23,884.78, 35,827.13 and 6,354.61

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Solution

The fourth proportional to 23,884.78, 35,827.13 and 6,354.61 is: 9,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.78 : 35,827.13 = 6,354.61 : x
  2. Step 2: Convert to fraction form
    23,884.78/35,827.13 = 6,354.61/x
  3. Step 3: Cross multiply
    23,884.78x = 35,827.13 × 6,354.61
  4. Step 4: Simplify right side
    23,884.78x = 227,667,438.57
  5. Step 5: Solve for x
    x = 227,667,438.57/23,884.78
  6. Step 6: Final answer
    x = 9,531.90

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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.