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Finding the Fourth Proportional to 24,744.67, 37,120.34 and 7,214.34

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Solution

The fourth proportional to 24,744.67, 37,120.34 and 7,214.34 is: 10,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.67 : 37,120.34 = 7,214.34 : x
  2. Step 2: Convert to fraction form
    24,744.67/37,120.34 = 7,214.34/x
  3. Step 3: Cross multiply
    24,744.67x = 37,120.34 × 7,214.34
  4. Step 4: Simplify right side
    24,744.67x = 267,798,910.91
  5. Step 5: Solve for x
    x = 267,798,910.91/24,744.67
  6. Step 6: Final answer
    x = 10,822.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.