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Finding the Fourth Proportional to 13,797.86, 20,694.89 and 6,005.66

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Solution

The fourth proportional to 13,797.86, 20,694.89 and 6,005.66 is: 9,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.86 : 20,694.89 = 6,005.66 : x
  2. Step 2: Convert to fraction form
    13,797.86/20,694.89 = 6,005.66/x
  3. Step 3: Cross multiply
    13,797.86x = 20,694.89 × 6,005.66
  4. Step 4: Simplify right side
    13,797.86x = 124,286,384.62
  5. Step 5: Solve for x
    x = 124,286,384.62/13,797.86
  6. Step 6: Final answer
    x = 9,007.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.