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Finding the Fourth Proportional to 24,093.87, 36,143.24 and 8,296.81

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Solution

The fourth proportional to 24,093.87, 36,143.24 and 8,296.81 is: 12,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093.87 : 36,143.24 = 8,296.81 : x
  2. Step 2: Convert to fraction form
    24,093.87/36,143.24 = 8,296.81/x
  3. Step 3: Cross multiply
    24,093.87x = 36,143.24 × 8,296.81
  4. Step 4: Simplify right side
    24,093.87x = 299,873,595.06
  5. Step 5: Solve for x
    x = 299,873,595.06/24,093.87
  6. Step 6: Final answer
    x = 12,446.05

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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.