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Finding the Fourth Proportional to 26,826.30, 40,234.89 and 7,106.85

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Solution

The fourth proportional to 26,826.30, 40,234.89 and 7,106.85 is: 10,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826.30 : 40,234.89 = 7,106.85 : x
  2. Step 2: Convert to fraction form
    26,826.30/40,234.89 = 7,106.85/x
  3. Step 3: Cross multiply
    26,826.30x = 40,234.89 × 7,106.85
  4. Step 4: Simplify right side
    26,826.30x = 285,943,328.00
  5. Step 5: Solve for x
    x = 285,943,328.00/26,826.30
  6. Step 6: Final answer
    x = 10,659.07

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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.