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Finding the Fourth Proportional to 14,183.22, 19,570.98 and 8,214.54

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Solution

The fourth proportional to 14,183.22, 19,570.98 and 8,214.54 is: 11,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.22 : 19,570.98 = 8,214.54 : x
  2. Step 2: Convert to fraction form
    14,183.22/19,570.98 = 8,214.54/x
  3. Step 3: Cross multiply
    14,183.22x = 19,570.98 × 8,214.54
  4. Step 4: Simplify right side
    14,183.22x = 160,766,598.05
  5. Step 5: Solve for x
    x = 160,766,598.05/14,183.22
  6. Step 6: Final answer
    x = 11,334.99

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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.