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Finding the Fourth Proportional to 27,194.68, 40,784.18 and 7,473.88

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Solution

The fourth proportional to 27,194.68, 40,784.18 and 7,473.88 is: 11,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.68 : 40,784.18 = 7,473.88 : x
  2. Step 2: Convert to fraction form
    27,194.68/40,784.18 = 7,473.88/x
  3. Step 3: Cross multiply
    27,194.68x = 40,784.18 × 7,473.88
  4. Step 4: Simplify right side
    27,194.68x = 304,816,067.22
  5. Step 5: Solve for x
    x = 304,816,067.22/27,194.68
  6. Step 6: Final answer
    x = 11,208.67

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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.