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Finding the Fourth Proportional to 24,078.67, 36,120.43 and 9,082.02

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Solution

The fourth proportional to 24,078.67, 36,120.43 and 9,082.02 is: 13,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.67 : 36,120.43 = 9,082.02 : x
  2. Step 2: Convert to fraction form
    24,078.67/36,120.43 = 9,082.02/x
  3. Step 3: Cross multiply
    24,078.67x = 36,120.43 × 9,082.02
  4. Step 4: Simplify right side
    24,078.67x = 328,046,614.47
  5. Step 5: Solve for x
    x = 328,046,614.47/24,078.67
  6. Step 6: Final answer
    x = 13,623.95

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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.