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Finding the Fourth Proportional to 25,139.87, 37,714.43 and 8,273.82

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Solution

The fourth proportional to 25,139.87, 37,714.43 and 8,273.82 is: 12,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.87 : 37,714.43 = 8,273.82 : x
  2. Step 2: Convert to fraction form
    25,139.87/37,714.43 = 8,273.82/x
  3. Step 3: Cross multiply
    25,139.87x = 37,714.43 × 8,273.82
  4. Step 4: Simplify right side
    25,139.87x = 312,042,363.85
  5. Step 5: Solve for x
    x = 312,042,363.85/25,139.87
  6. Step 6: Final answer
    x = 12,412.25

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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.