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Finding the Fourth Proportional to 23,933, 35,900.94 and 7,517

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Solution

The fourth proportional to 23,933, 35,900.94 and 7,517 is: 11,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933 : 35,900.94 = 7,517 : x
  2. Step 2: Convert to fraction form
    23,933/35,900.94 = 7,517/x
  3. Step 3: Cross multiply
    23,933x = 35,900.94 × 7,517
  4. Step 4: Simplify right side
    23,933x = 269,867,365.98
  5. Step 5: Solve for x
    x = 269,867,365.98/23,933
  6. Step 6: Final answer
    x = 11,275.95

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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.