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Finding the Fourth Proportional to 24,825.21, 37,229.91 and 8,182.14

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Solution

The fourth proportional to 24,825.21, 37,229.91 and 8,182.14 is: 12,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.21 : 37,229.91 = 8,182.14 : x
  2. Step 2: Convert to fraction form
    24,825.21/37,229.91 = 8,182.14/x
  3. Step 3: Cross multiply
    24,825.21x = 37,229.91 × 8,182.14
  4. Step 4: Simplify right side
    24,825.21x = 304,620,335.81
  5. Step 5: Solve for x
    x = 304,620,335.81/24,825.21
  6. Step 6: Final answer
    x = 12,270.60

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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.