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Finding the Fourth Proportional to 13,682.10, 20,464.83 and 8,404.14

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Solution

The fourth proportional to 13,682.10, 20,464.83 and 8,404.14 is: 12,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.10 : 20,464.83 = 8,404.14 : x
  2. Step 2: Convert to fraction form
    13,682.10/20,464.83 = 8,404.14/x
  3. Step 3: Cross multiply
    13,682.10x = 20,464.83 × 8,404.14
  4. Step 4: Simplify right side
    13,682.10x = 171,989,296.40
  5. Step 5: Solve for x
    x = 171,989,296.40/13,682.10
  6. Step 6: Final answer
    x = 12,570.39

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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.