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Finding the Fourth Proportional to 26,563.46, 39,835.89 and 7,838.51

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Solution

The fourth proportional to 26,563.46, 39,835.89 and 7,838.51 is: 11,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.46 : 39,835.89 = 7,838.51 : x
  2. Step 2: Convert to fraction form
    26,563.46/39,835.89 = 7,838.51/x
  3. Step 3: Cross multiply
    26,563.46x = 39,835.89 × 7,838.51
  4. Step 4: Simplify right side
    26,563.46x = 312,253,822.94
  5. Step 5: Solve for x
    x = 312,253,822.94/26,563.46
  6. Step 6: Final answer
    x = 11,755.02

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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.