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Finding the Fourth Proportional to 13,321.72, 19,983.66 and 8,695

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Solution

The fourth proportional to 13,321.72, 19,983.66 and 8,695 is: 13,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.72 : 19,983.66 = 8,695 : x
  2. Step 2: Convert to fraction form
    13,321.72/19,983.66 = 8,695/x
  3. Step 3: Cross multiply
    13,321.72x = 19,983.66 × 8,695
  4. Step 4: Simplify right side
    13,321.72x = 173,757,923.70
  5. Step 5: Solve for x
    x = 173,757,923.70/13,321.72
  6. Step 6: Final answer
    x = 13,043.20

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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.