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Finding the Fourth Proportional to 14,586.62, 20,129.06 and 8,213.54

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Solution

The fourth proportional to 14,586.62, 20,129.06 and 8,213.54 is: 11,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.62 : 20,129.06 = 8,213.54 : x
  2. Step 2: Convert to fraction form
    14,586.62/20,129.06 = 8,213.54/x
  3. Step 3: Cross multiply
    14,586.62x = 20,129.06 × 8,213.54
  4. Step 4: Simplify right side
    14,586.62x = 165,330,839.47
  5. Step 5: Solve for x
    x = 165,330,839.47/14,586.62
  6. Step 6: Final answer
    x = 11,334.42

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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.