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Finding the Fourth Proportional to 24,942.75, 37,420.29 and 7,412.51

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Solution

The fourth proportional to 24,942.75, 37,420.29 and 7,412.51 is: 11,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.75 : 37,420.29 = 7,412.51 : x
  2. Step 2: Convert to fraction form
    24,942.75/37,420.29 = 7,412.51/x
  3. Step 3: Cross multiply
    24,942.75x = 37,420.29 × 7,412.51
  4. Step 4: Simplify right side
    24,942.75x = 277,378,086.73
  5. Step 5: Solve for x
    x = 277,378,086.73/24,942.75
  6. Step 6: Final answer
    x = 11,120.59

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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.