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Finding the Fourth Proportional to 24,737.16, 37,101.72 and 8,096.94

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Solution

The fourth proportional to 24,737.16, 37,101.72 and 8,096.94 is: 12,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.16 : 37,101.72 = 8,096.94 : x
  2. Step 2: Convert to fraction form
    24,737.16/37,101.72 = 8,096.94/x
  3. Step 3: Cross multiply
    24,737.16x = 37,101.72 × 8,096.94
  4. Step 4: Simplify right side
    24,737.16x = 300,410,400.74
  5. Step 5: Solve for x
    x = 300,410,400.74/24,737.16
  6. Step 6: Final answer
    x = 12,144.09

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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.