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Finding the Fourth Proportional to 13,266.08, 18,305.16 and 7,676

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Solution

The fourth proportional to 13,266.08, 18,305.16 and 7,676 is: 10,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.08 : 18,305.16 = 7,676 : x
  2. Step 2: Convert to fraction form
    13,266.08/18,305.16 = 7,676/x
  3. Step 3: Cross multiply
    13,266.08x = 18,305.16 × 7,676
  4. Step 4: Simplify right side
    13,266.08x = 140,510,408.16
  5. Step 5: Solve for x
    x = 140,510,408.16/13,266.08
  6. Step 6: Final answer
    x = 10,591.71

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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.