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Finding the Fourth Proportional to 24,930.66, 37,396.20 and 7,400.49

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Solution

The fourth proportional to 24,930.66, 37,396.20 and 7,400.49 is: 11,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930.66 : 37,396.20 = 7,400.49 : x
  2. Step 2: Convert to fraction form
    24,930.66/37,396.20 = 7,400.49/x
  3. Step 3: Cross multiply
    24,930.66x = 37,396.20 × 7,400.49
  4. Step 4: Simplify right side
    24,930.66x = 276,750,204.14
  5. Step 5: Solve for x
    x = 276,750,204.14/24,930.66
  6. Step 6: Final answer
    x = 11,100.80

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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.