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Finding the Fourth Proportional to 26,965.84, 40,469.46 and 18,512.50

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Solution

The fourth proportional to 26,965.84, 40,469.46 and 18,512.50 is: 27,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.84 : 40,469.46 = 18,512.50 : x
  2. Step 2: Convert to fraction form
    26,965.84/40,469.46 = 18,512.50/x
  3. Step 3: Cross multiply
    26,965.84x = 40,469.46 × 18,512.50
  4. Step 4: Simplify right side
    26,965.84x = 749,190,878.25
  5. Step 5: Solve for x
    x = 749,190,878.25/26,965.84
  6. Step 6: Final answer
    x = 27,782.96

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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.