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Finding the Fourth Proportional to 14,193.76, 19,586.45 and 8,224.37

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Solution

The fourth proportional to 14,193.76, 19,586.45 and 8,224.37 is: 11,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.76 : 19,586.45 = 8,224.37 : x
  2. Step 2: Convert to fraction form
    14,193.76/19,586.45 = 8,224.37/x
  3. Step 3: Cross multiply
    14,193.76x = 19,586.45 × 8,224.37
  4. Step 4: Simplify right side
    14,193.76x = 161,086,211.79
  5. Step 5: Solve for x
    x = 161,086,211.79/14,193.76
  6. Step 6: Final answer
    x = 11,349.09

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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.