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Finding the Fourth Proportional to 24,714.20, 37,076.76 and 7,182.56

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Solution

The fourth proportional to 24,714.20, 37,076.76 and 7,182.56 is: 10,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.20 : 37,076.76 = 7,182.56 : x
  2. Step 2: Convert to fraction form
    24,714.20/37,076.76 = 7,182.56/x
  3. Step 3: Cross multiply
    24,714.20x = 37,076.76 × 7,182.56
  4. Step 4: Simplify right side
    24,714.20x = 266,305,867.92
  5. Step 5: Solve for x
    x = 266,305,867.92/24,714.20
  6. Step 6: Final answer
    x = 10,775.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.