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Finding the Fourth Proportional to 18,096.84, 27,142.74 and 10,083.78

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Solution

The fourth proportional to 18,096.84, 27,142.74 and 10,083.78 is: 15,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.84 : 27,142.74 = 10,083.78 : x
  2. Step 2: Convert to fraction form
    18,096.84/27,142.74 = 10,083.78/x
  3. Step 3: Cross multiply
    18,096.84x = 27,142.74 × 10,083.78
  4. Step 4: Simplify right side
    18,096.84x = 273,701,418.76
  5. Step 5: Solve for x
    x = 273,701,418.76/18,096.84
  6. Step 6: Final answer
    x = 15,124.27

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1.5x scale

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.