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Finding the Fourth Proportional to 18,433.81, 27,650.82 and 4,582.81

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Solution

The fourth proportional to 18,433.81, 27,650.82 and 4,582.81 is: 6,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.81 : 27,650.82 = 4,582.81 : x
  2. Step 2: Convert to fraction form
    18,433.81/27,650.82 = 4,582.81/x
  3. Step 3: Cross multiply
    18,433.81x = 27,650.82 × 4,582.81
  4. Step 4: Simplify right side
    18,433.81x = 126,718,454.40
  5. Step 5: Solve for x
    x = 126,718,454.40/18,433.81
  6. Step 6: Final answer
    x = 6,874.24

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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.