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Finding the Fourth Proportional to 24,874.64, 37,318.79 and 7,344.46

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Solution

The fourth proportional to 24,874.64, 37,318.79 and 7,344.46 is: 11,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.64 : 37,318.79 = 7,344.46 : x
  2. Step 2: Convert to fraction form
    24,874.64/37,318.79 = 7,344.46/x
  3. Step 3: Cross multiply
    24,874.64x = 37,318.79 × 7,344.46
  4. Step 4: Simplify right side
    24,874.64x = 274,086,360.40
  5. Step 5: Solve for x
    x = 274,086,360.40/24,874.64
  6. Step 6: Final answer
    x = 11,018.71

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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.