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Finding the Fourth Proportional to 24,714.26, 37,075 and 7,181.82

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Solution

The fourth proportional to 24,714.26, 37,075 and 7,181.82 is: 10,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.26 : 37,075 = 7,181.82 : x
  2. Step 2: Convert to fraction form
    24,714.26/37,075 = 7,181.82/x
  3. Step 3: Cross multiply
    24,714.26x = 37,075 × 7,181.82
  4. Step 4: Simplify right side
    24,714.26x = 266,265,976.50
  5. Step 5: Solve for x
    x = 266,265,976.50/24,714.26
  6. Step 6: Final answer
    x = 10,773.78

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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.