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Finding the Fourth Proportional to 13,891.42, 20,833.43 and 3,895.61

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Solution

The fourth proportional to 13,891.42, 20,833.43 and 3,895.61 is: 5,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.42 : 20,833.43 = 3,895.61 : x
  2. Step 2: Convert to fraction form
    13,891.42/20,833.43 = 3,895.61/x
  3. Step 3: Cross multiply
    13,891.42x = 20,833.43 × 3,895.61
  4. Step 4: Simplify right side
    13,891.42x = 81,158,950.85
  5. Step 5: Solve for x
    x = 81,158,950.85/13,891.42
  6. Step 6: Final answer
    x = 5,842.38

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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.