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Finding the Fourth Proportional to 24,814.34, 37,226.87 and 8,173.56

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Solution

The fourth proportional to 24,814.34, 37,226.87 and 8,173.56 is: 12,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.34 : 37,226.87 = 8,173.56 : x
  2. Step 2: Convert to fraction form
    24,814.34/37,226.87 = 8,173.56/x
  3. Step 3: Cross multiply
    24,814.34x = 37,226.87 × 8,173.56
  4. Step 4: Simplify right side
    24,814.34x = 304,276,014.69
  5. Step 5: Solve for x
    x = 304,276,014.69/24,814.34
  6. Step 6: Final answer
    x = 12,262.11

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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.