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Finding the Fourth Proportional to 15,714.50, 23,573.17 and 4,027.82

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Solution

The fourth proportional to 15,714.50, 23,573.17 and 4,027.82 is: 6,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.50 : 23,573.17 = 4,027.82 : x
  2. Step 2: Convert to fraction form
    15,714.50/23,573.17 = 4,027.82/x
  3. Step 3: Cross multiply
    15,714.50x = 23,573.17 × 4,027.82
  4. Step 4: Simplify right side
    15,714.50x = 94,948,485.59
  5. Step 5: Solve for x
    x = 94,948,485.59/15,714.50
  6. Step 6: Final answer
    x = 6,042.09

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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.