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Finding the Fourth Proportional to 13,213.05, 18,234 and 7,244.59

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Solution

The fourth proportional to 13,213.05, 18,234 and 7,244.59 is: 9,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.05 : 18,234 = 7,244.59 : x
  2. Step 2: Convert to fraction form
    13,213.05/18,234 = 7,244.59/x
  3. Step 3: Cross multiply
    13,213.05x = 18,234 × 7,244.59
  4. Step 4: Simplify right side
    13,213.05x = 132,097,854.06
  5. Step 5: Solve for x
    x = 132,097,854.06/13,213.05
  6. Step 6: Final answer
    x = 9,997.53

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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.