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Finding the Fourth Proportional to 14,919.96, 20,589.13 and 8,205.58

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Solution

The fourth proportional to 14,919.96, 20,589.13 and 8,205.58 is: 11,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.96 : 20,589.13 = 8,205.58 : x
  2. Step 2: Convert to fraction form
    14,919.96/20,589.13 = 8,205.58/x
  3. Step 3: Cross multiply
    14,919.96x = 20,589.13 × 8,205.58
  4. Step 4: Simplify right side
    14,919.96x = 168,945,753.35
  5. Step 5: Solve for x
    x = 168,945,753.35/14,919.96
  6. Step 6: Final answer
    x = 11,323.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.