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Finding the Fourth Proportional to 24,721.94, 37,082.57 and 6,002.12

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Solution

The fourth proportional to 24,721.94, 37,082.57 and 6,002.12 is: 9,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.94 : 37,082.57 = 6,002.12 : x
  2. Step 2: Convert to fraction form
    24,721.94/37,082.57 = 6,002.12/x
  3. Step 3: Cross multiply
    24,721.94x = 37,082.57 × 6,002.12
  4. Step 4: Simplify right side
    24,721.94x = 222,574,035.05
  5. Step 5: Solve for x
    x = 222,574,035.05/24,721.94
  6. Step 6: Final answer
    x = 9,003.10

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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.