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Finding the Fourth Proportional to 24,944.66, 37,419 and 7,414.50

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Solution

The fourth proportional to 24,944.66, 37,419 and 7,414.50 is: 11,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944.66 : 37,419 = 7,414.50 : x
  2. Step 2: Convert to fraction form
    24,944.66/37,419 = 7,414.50/x
  3. Step 3: Cross multiply
    24,944.66x = 37,419 × 7,414.50
  4. Step 4: Simplify right side
    24,944.66x = 277,443,175.50
  5. Step 5: Solve for x
    x = 277,443,175.50/24,944.66
  6. Step 6: Final answer
    x = 11,122.35

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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.