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Finding the Fourth Proportional to 13,913.83, 20,860.83 and 6,514.24

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Solution

The fourth proportional to 13,913.83, 20,860.83 and 6,514.24 is: 9,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.83 : 20,860.83 = 6,514.24 : x
  2. Step 2: Convert to fraction form
    13,913.83/20,860.83 = 6,514.24/x
  3. Step 3: Cross multiply
    13,913.83x = 20,860.83 × 6,514.24
  4. Step 4: Simplify right side
    13,913.83x = 135,892,453.22
  5. Step 5: Solve for x
    x = 135,892,453.22/13,913.83
  6. Step 6: Final answer
    x = 9,766.72

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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.