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Finding the Fourth Proportional to 24,735.57, 37,106.81 and 8,096.91

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Solution

The fourth proportional to 24,735.57, 37,106.81 and 8,096.91 is: 12,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.57 : 37,106.81 = 8,096.91 : x
  2. Step 2: Convert to fraction form
    24,735.57/37,106.81 = 8,096.91/x
  3. Step 3: Cross multiply
    24,735.57x = 37,106.81 × 8,096.91
  4. Step 4: Simplify right side
    24,735.57x = 300,450,500.96
  5. Step 5: Solve for x
    x = 300,450,500.96/24,735.57
  6. Step 6: Final answer
    x = 12,146.50

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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.