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Finding the Fourth Proportional to 24,899.14, 37,361.67 and 10,118.98

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Solution

The fourth proportional to 24,899.14, 37,361.67 and 10,118.98 is: 15,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.14 : 37,361.67 = 10,118.98 : x
  2. Step 2: Convert to fraction form
    24,899.14/37,361.67 = 10,118.98/x
  3. Step 3: Cross multiply
    24,899.14x = 37,361.67 × 10,118.98
  4. Step 4: Simplify right side
    24,899.14x = 378,061,991.50
  5. Step 5: Solve for x
    x = 378,061,991.50/24,899.14
  6. Step 6: Final answer
    x = 15,183.74

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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.