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Finding the Fourth Proportional to 24,765.66, 37,158.21 and 9,194.22

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Solution

The fourth proportional to 24,765.66, 37,158.21 and 9,194.22 is: 13,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.66 : 37,158.21 = 9,194.22 : x
  2. Step 2: Convert to fraction form
    24,765.66/37,158.21 = 9,194.22/x
  3. Step 3: Cross multiply
    24,765.66x = 37,158.21 × 9,194.22
  4. Step 4: Simplify right side
    24,765.66x = 341,640,757.55
  5. Step 5: Solve for x
    x = 341,640,757.55/24,765.66
  6. Step 6: Final answer
    x = 13,794.94

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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.