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Finding the Fourth Proportional to 23,766, 35,650.92 and 7,350

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Solution

The fourth proportional to 23,766, 35,650.92 and 7,350 is: 11,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766 : 35,650.92 = 7,350 : x
  2. Step 2: Convert to fraction form
    23,766/35,650.92 = 7,350/x
  3. Step 3: Cross multiply
    23,766x = 35,650.92 × 7,350
  4. Step 4: Simplify right side
    23,766x = 262,034,262
  5. Step 5: Solve for x
    x = 262,034,262/23,766
  6. Step 6: Final answer
    x = 11,025.59

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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.