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Finding the Fourth Proportional to 23,714.92, 35,520.54 and 11,377

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Solution

The fourth proportional to 23,714.92, 35,520.54 and 11,377 is: 17,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.92 : 35,520.54 = 11,377 : x
  2. Step 2: Convert to fraction form
    23,714.92/35,520.54 = 11,377/x
  3. Step 3: Cross multiply
    23,714.92x = 35,520.54 × 11,377
  4. Step 4: Simplify right side
    23,714.92x = 404,117,183.58
  5. Step 5: Solve for x
    x = 404,117,183.58/23,714.92
  6. Step 6: Final answer
    x = 17,040.63

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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.