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Finding the Fourth Proportional to 24,417, 36,625.68 and 5,949

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Solution

The fourth proportional to 24,417, 36,625.68 and 5,949 is: 8,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 36,625.68 = 5,949 : x
  2. Step 2: Convert to fraction form
    24,417/36,625.68 = 5,949/x
  3. Step 3: Cross multiply
    24,417x = 36,625.68 × 5,949
  4. Step 4: Simplify right side
    24,417x = 217,886,170.32
  5. Step 5: Solve for x
    x = 217,886,170.32/24,417
  6. Step 6: Final answer
    x = 8,923.54

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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.