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Finding the Fourth Proportional to 14,194.83, 19,585.89 and 8,226.15

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Solution

The fourth proportional to 14,194.83, 19,585.89 and 8,226.15 is: 11,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.83 : 19,585.89 = 8,226.15 : x
  2. Step 2: Convert to fraction form
    14,194.83/19,585.89 = 8,226.15/x
  3. Step 3: Cross multiply
    14,194.83x = 19,585.89 × 8,226.15
  4. Step 4: Simplify right side
    14,194.83x = 161,116,469.02
  5. Step 5: Solve for x
    x = 161,116,469.02/14,194.83
  6. Step 6: Final answer
    x = 11,350.36

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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.