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Finding the Fourth Proportional to 24,714.08, 37,074.76 and 7,181.62

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Solution

The fourth proportional to 24,714.08, 37,074.76 and 7,181.62 is: 10,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.08 : 37,074.76 = 7,181.62 : x
  2. Step 2: Convert to fraction form
    24,714.08/37,074.76 = 7,181.62/x
  3. Step 3: Cross multiply
    24,714.08x = 37,074.76 × 7,181.62
  4. Step 4: Simplify right side
    24,714.08x = 266,256,837.91
  5. Step 5: Solve for x
    x = 266,256,837.91/24,714.08
  6. Step 6: Final answer
    x = 10,773.49

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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.