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Finding the Fourth Proportional to 13,604.86, 18,768 and 8,563.42

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Solution

The fourth proportional to 13,604.86, 18,768 and 8,563.42 is: 11,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.86 : 18,768 = 8,563.42 : x
  2. Step 2: Convert to fraction form
    13,604.86/18,768 = 8,563.42/x
  3. Step 3: Cross multiply
    13,604.86x = 18,768 × 8,563.42
  4. Step 4: Simplify right side
    13,604.86x = 160,718,266.56
  5. Step 5: Solve for x
    x = 160,718,266.56/13,604.86
  6. Step 6: Final answer
    x = 11,813.30

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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.