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Finding the Fourth Proportional to 24,787.68, 37,183.94 and 8,140.96

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Solution

The fourth proportional to 24,787.68, 37,183.94 and 8,140.96 is: 12,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.68 : 37,183.94 = 8,140.96 : x
  2. Step 2: Convert to fraction form
    24,787.68/37,183.94 = 8,140.96/x
  3. Step 3: Cross multiply
    24,787.68x = 37,183.94 × 8,140.96
  4. Step 4: Simplify right side
    24,787.68x = 302,712,968.18
  5. Step 5: Solve for x
    x = 302,712,968.18/24,787.68
  6. Step 6: Final answer
    x = 12,212.23

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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.