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Finding the Fourth Proportional to 14,194.23, 19,591.41 and 8,229.18

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Solution

The fourth proportional to 14,194.23, 19,591.41 and 8,229.18 is: 11,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.23 : 19,591.41 = 8,229.18 : x
  2. Step 2: Convert to fraction form
    14,194.23/19,591.41 = 8,229.18/x
  3. Step 3: Cross multiply
    14,194.23x = 19,591.41 × 8,229.18
  4. Step 4: Simplify right side
    14,194.23x = 161,221,239.34
  5. Step 5: Solve for x
    x = 161,221,239.34/14,194.23
  6. Step 6: Final answer
    x = 11,358.22

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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.