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Finding the Fourth Proportional to 26,550.47, 39,826.03 and 6,828.50

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Solution

The fourth proportional to 26,550.47, 39,826.03 and 6,828.50 is: 10,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,550.47 : 39,826.03 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    26,550.47/39,826.03 = 6,828.50/x
  3. Step 3: Cross multiply
    26,550.47x = 39,826.03 × 6,828.50
  4. Step 4: Simplify right side
    26,550.47x = 271,952,045.86
  5. Step 5: Solve for x
    x = 271,952,045.86/26,550.47
  6. Step 6: Final answer
    x = 10,242.83

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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.