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Finding the Fourth Proportional to 24,728.49, 37,099.49 and 8,935.38

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Solution

The fourth proportional to 24,728.49, 37,099.49 and 8,935.38 is: 13,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.49 : 37,099.49 = 8,935.38 : x
  2. Step 2: Convert to fraction form
    24,728.49/37,099.49 = 8,935.38/x
  3. Step 3: Cross multiply
    24,728.49x = 37,099.49 × 8,935.38
  4. Step 4: Simplify right side
    24,728.49x = 331,497,996.28
  5. Step 5: Solve for x
    x = 331,497,996.28/24,728.49
  6. Step 6: Final answer
    x = 13,405.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.