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Finding the Fourth Proportional to 24,056.78, 36,084.36 and 8,474

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Solution

The fourth proportional to 24,056.78, 36,084.36 and 8,474 is: 12,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,056.78 : 36,084.36 = 8,474 : x
  2. Step 2: Convert to fraction form
    24,056.78/36,084.36 = 8,474/x
  3. Step 3: Cross multiply
    24,056.78x = 36,084.36 × 8,474
  4. Step 4: Simplify right side
    24,056.78x = 305,778,866.64
  5. Step 5: Solve for x
    x = 305,778,866.64/24,056.78
  6. Step 6: Final answer
    x = 12,710.71

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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.