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Finding the Fourth Proportional to 24,737.11, 37,097.83 and 8,093.31

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Solution

The fourth proportional to 24,737.11, 37,097.83 and 8,093.31 is: 12,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.11 : 37,097.83 = 8,093.31 : x
  2. Step 2: Convert to fraction form
    24,737.11/37,097.83 = 8,093.31/x
  3. Step 3: Cross multiply
    24,737.11x = 37,097.83 × 8,093.31
  4. Step 4: Simplify right side
    24,737.11x = 300,244,238.52
  5. Step 5: Solve for x
    x = 300,244,238.52/24,737.11
  6. Step 6: Final answer
    x = 12,137.40

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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.