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Finding the Fourth Proportional to 24,884.22, 37,334.25 and 7,354.14

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Solution

The fourth proportional to 24,884.22, 37,334.25 and 7,354.14 is: 11,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.22 : 37,334.25 = 7,354.14 : x
  2. Step 2: Convert to fraction form
    24,884.22/37,334.25 = 7,354.14/x
  3. Step 3: Cross multiply
    24,884.22x = 37,334.25 × 7,354.14
  4. Step 4: Simplify right side
    24,884.22x = 274,561,301.30
  5. Step 5: Solve for x
    x = 274,561,301.30/24,884.22
  6. Step 6: Final answer
    x = 11,033.55

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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.