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Finding the Fourth Proportional to 14,919.63, 20,589.60 and 8,205.76

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Solution

The fourth proportional to 14,919.63, 20,589.60 and 8,205.76 is: 11,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.63 : 20,589.60 = 8,205.76 : x
  2. Step 2: Convert to fraction form
    14,919.63/20,589.60 = 8,205.76/x
  3. Step 3: Cross multiply
    14,919.63x = 20,589.60 × 8,205.76
  4. Step 4: Simplify right side
    14,919.63x = 168,953,316.10
  5. Step 5: Solve for x
    x = 168,953,316.10/14,919.63
  6. Step 6: Final answer
    x = 11,324.23

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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.