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Finding the Fourth Proportional to 14,218.50, 19,621.11 and 8,249.76

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Solution

The fourth proportional to 14,218.50, 19,621.11 and 8,249.76 is: 11,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.50 : 19,621.11 = 8,249.76 : x
  2. Step 2: Convert to fraction form
    14,218.50/19,621.11 = 8,249.76/x
  3. Step 3: Cross multiply
    14,218.50x = 19,621.11 × 8,249.76
  4. Step 4: Simplify right side
    14,218.50x = 161,869,448.43
  5. Step 5: Solve for x
    x = 161,869,448.43/14,218.50
  6. Step 6: Final answer
    x = 11,384.43

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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.