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Finding the Fourth Proportional to 14,194.31, 19,586.65 and 8,227.85

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Solution

The fourth proportional to 14,194.31, 19,586.65 and 8,227.85 is: 11,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.31 : 19,586.65 = 8,227.85 : x
  2. Step 2: Convert to fraction form
    14,194.31/19,586.65 = 8,227.85/x
  3. Step 3: Cross multiply
    14,194.31x = 19,586.65 × 8,227.85
  4. Step 4: Simplify right side
    14,194.31x = 161,156,018.20
  5. Step 5: Solve for x
    x = 161,156,018.20/14,194.31
  6. Step 6: Final answer
    x = 11,353.56

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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.