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Finding the Fourth Proportional to 14,197.82, 19,594.74 and 8,229.36

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Solution

The fourth proportional to 14,197.82, 19,594.74 and 8,229.36 is: 11,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.82 : 19,594.74 = 8,229.36 : x
  2. Step 2: Convert to fraction form
    14,197.82/19,594.74 = 8,229.36/x
  3. Step 3: Cross multiply
    14,197.82x = 19,594.74 × 8,229.36
  4. Step 4: Simplify right side
    14,197.82x = 161,252,169.57
  5. Step 5: Solve for x
    x = 161,252,169.57/14,197.82
  6. Step 6: Final answer
    x = 11,357.53

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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.