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Finding the Fourth Proportional to 18,543.42, 27,793.94 and 6,691.77

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Solution

The fourth proportional to 18,543.42, 27,793.94 and 6,691.77 is: 10,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.42 : 27,793.94 = 6,691.77 : x
  2. Step 2: Convert to fraction form
    18,543.42/27,793.94 = 6,691.77/x
  3. Step 3: Cross multiply
    18,543.42x = 27,793.94 × 6,691.77
  4. Step 4: Simplify right side
    18,543.42x = 185,990,620.41
  5. Step 5: Solve for x
    x = 185,990,620.41/18,543.42
  6. Step 6: Final answer
    x = 10,030.01

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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.