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Finding the Fourth Proportional to 18,047.68, 27,076.98 and 8,184.31

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Solution

The fourth proportional to 18,047.68, 27,076.98 and 8,184.31 is: 12,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047.68 : 27,076.98 = 8,184.31 : x
  2. Step 2: Convert to fraction form
    18,047.68/27,076.98 = 8,184.31/x
  3. Step 3: Cross multiply
    18,047.68x = 27,076.98 × 8,184.31
  4. Step 4: Simplify right side
    18,047.68x = 221,606,361.18
  5. Step 5: Solve for x
    x = 221,606,361.18/18,047.68
  6. Step 6: Final answer
    x = 12,278.94

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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.