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Finding the Fourth Proportional to 24,737.96, 37,110.83 and 8,094.08

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Solution

The fourth proportional to 24,737.96, 37,110.83 and 8,094.08 is: 12,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.96 : 37,110.83 = 8,094.08 : x
  2. Step 2: Convert to fraction form
    24,737.96/37,110.83 = 8,094.08/x
  3. Step 3: Cross multiply
    24,737.96x = 37,110.83 × 8,094.08
  4. Step 4: Simplify right side
    24,737.96x = 300,377,800.86
  5. Step 5: Solve for x
    x = 300,377,800.86/24,737.96
  6. Step 6: Final answer
    x = 12,142.39

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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.