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Finding the Fourth Proportional to 24,786.64, 37,174.49 and 7,257.84

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Solution

The fourth proportional to 24,786.64, 37,174.49 and 7,257.84 is: 10,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.64 : 37,174.49 = 7,257.84 : x
  2. Step 2: Convert to fraction form
    24,786.64/37,174.49 = 7,257.84/x
  3. Step 3: Cross multiply
    24,786.64x = 37,174.49 × 7,257.84
  4. Step 4: Simplify right side
    24,786.64x = 269,806,392.85
  5. Step 5: Solve for x
    x = 269,806,392.85/24,786.64
  6. Step 6: Final answer
    x = 10,885.15

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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.