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Finding the Fourth Proportional to 13,722.75, 18,937.80 and 8,416.44

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Solution

The fourth proportional to 13,722.75, 18,937.80 and 8,416.44 is: 11,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.75 : 18,937.80 = 8,416.44 : x
  2. Step 2: Convert to fraction form
    13,722.75/18,937.80 = 8,416.44/x
  3. Step 3: Cross multiply
    13,722.75x = 18,937.80 × 8,416.44
  4. Step 4: Simplify right side
    13,722.75x = 159,388,857.43
  5. Step 5: Solve for x
    x = 159,388,857.43/13,722.75
  6. Step 6: Final answer
    x = 11,614.94

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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.