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Finding the Fourth Proportional to 24,884.22, 37,314.18 and 10,856.10

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Solution

The fourth proportional to 24,884.22, 37,314.18 and 10,856.10 is: 16,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.22 : 37,314.18 = 10,856.10 : x
  2. Step 2: Convert to fraction form
    24,884.22/37,314.18 = 10,856.10/x
  3. Step 3: Cross multiply
    24,884.22x = 37,314.18 × 10,856.10
  4. Step 4: Simplify right side
    24,884.22x = 405,086,469.50
  5. Step 5: Solve for x
    x = 405,086,469.50/24,884.22
  6. Step 6: Final answer
    x = 16,278.85

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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.