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Finding the Fourth Proportional to 18,042.05, 27,067.18 and 8,184.15

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Solution

The fourth proportional to 18,042.05, 27,067.18 and 8,184.15 is: 12,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.05 : 27,067.18 = 8,184.15 : x
  2. Step 2: Convert to fraction form
    18,042.05/27,067.18 = 8,184.15/x
  3. Step 3: Cross multiply
    18,042.05x = 27,067.18 × 8,184.15
  4. Step 4: Simplify right side
    18,042.05x = 221,521,840.74
  5. Step 5: Solve for x
    x = 221,521,840.74/18,042.05
  6. Step 6: Final answer
    x = 12,278.08

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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.