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Finding the Fourth Proportional to 24,740, 37,115.76 and 8,324

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Solution

The fourth proportional to 24,740, 37,115.76 and 8,324 is: 12,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 37,115.76 = 8,324 : x
  2. Step 2: Convert to fraction form
    24,740/37,115.76 = 8,324/x
  3. Step 3: Cross multiply
    24,740x = 37,115.76 × 8,324
  4. Step 4: Simplify right side
    24,740x = 308,951,586.24
  5. Step 5: Solve for x
    x = 308,951,586.24/24,740
  6. Step 6: Final answer
    x = 12,487.94

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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.