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Finding the Fourth Proportional to 13,213.50, 18,234.63 and 7,627.74

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Solution

The fourth proportional to 13,213.50, 18,234.63 and 7,627.74 is: 10,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.50 : 18,234.63 = 7,627.74 : x
  2. Step 2: Convert to fraction form
    13,213.50/18,234.63 = 7,627.74/x
  3. Step 3: Cross multiply
    13,213.50x = 18,234.63 × 7,627.74
  4. Step 4: Simplify right side
    13,213.50x = 139,089,016.64
  5. Step 5: Solve for x
    x = 139,089,016.64/13,213.50
  6. Step 6: Final answer
    x = 10,526.28

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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.