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Finding the Fourth Proportional to 23,965.64, 35,949.42 and 11,650.76

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Solution

The fourth proportional to 23,965.64, 35,949.42 and 11,650.76 is: 17,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.64 : 35,949.42 = 11,650.76 : x
  2. Step 2: Convert to fraction form
    23,965.64/35,949.42 = 11,650.76/x
  3. Step 3: Cross multiply
    23,965.64x = 35,949.42 × 11,650.76
  4. Step 4: Simplify right side
    23,965.64x = 418,838,064.56
  5. Step 5: Solve for x
    x = 418,838,064.56/23,965.64
  6. Step 6: Final answer
    x = 17,476.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.