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Finding the Fourth Proportional to 14,782.50, 20,399.85 and 8,496.09

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Solution

The fourth proportional to 14,782.50, 20,399.85 and 8,496.09 is: 11,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.50 : 20,399.85 = 8,496.09 : x
  2. Step 2: Convert to fraction form
    14,782.50/20,399.85 = 8,496.09/x
  3. Step 3: Cross multiply
    14,782.50x = 20,399.85 × 8,496.09
  4. Step 4: Simplify right side
    14,782.50x = 173,318,961.59
  5. Step 5: Solve for x
    x = 173,318,961.59/14,782.50
  6. Step 6: Final answer
    x = 11,724.60

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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.