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Finding the Fourth Proportional to 23,995.68, 35,997.78 and 11,538.30

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Solution

The fourth proportional to 23,995.68, 35,997.78 and 11,538.30 is: 17,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,995.68 : 35,997.78 = 11,538.30 : x
  2. Step 2: Convert to fraction form
    23,995.68/35,997.78 = 11,538.30/x
  3. Step 3: Cross multiply
    23,995.68x = 35,997.78 × 11,538.30
  4. Step 4: Simplify right side
    23,995.68x = 415,353,184.97
  5. Step 5: Solve for x
    x = 415,353,184.97/23,995.68
  6. Step 6: Final answer
    x = 17,309.50

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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.