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Finding the Fourth Proportional to 24,787.42, 37,173.24 and 8,143.58

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Solution

The fourth proportional to 24,787.42, 37,173.24 and 8,143.58 is: 12,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.42 : 37,173.24 = 8,143.58 : x
  2. Step 2: Convert to fraction form
    24,787.42/37,173.24 = 8,143.58/x
  3. Step 3: Cross multiply
    24,787.42x = 37,173.24 × 8,143.58
  4. Step 4: Simplify right side
    24,787.42x = 302,723,253.80
  5. Step 5: Solve for x
    x = 302,723,253.80/24,787.42
  6. Step 6: Final answer
    x = 12,212.78

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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.