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Finding the Fourth Proportional to 23,884.35, 35,826.47 and 6,354.17

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Solution

The fourth proportional to 23,884.35, 35,826.47 and 6,354.17 is: 9,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.35 : 35,826.47 = 6,354.17 : x
  2. Step 2: Convert to fraction form
    23,884.35/35,826.47 = 6,354.17/x
  3. Step 3: Cross multiply
    23,884.35x = 35,826.47 × 6,354.17
  4. Step 4: Simplify right side
    23,884.35x = 227,647,480.88
  5. Step 5: Solve for x
    x = 227,647,480.88/23,884.35
  6. Step 6: Final answer
    x = 9,531.24

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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.