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Finding the Fourth Proportional to 26,906.46, 40,362.24 and 7,186.20

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Solution

The fourth proportional to 26,906.46, 40,362.24 and 7,186.20 is: 10,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.46 : 40,362.24 = 7,186.20 : x
  2. Step 2: Convert to fraction form
    26,906.46/40,362.24 = 7,186.20/x
  3. Step 3: Cross multiply
    26,906.46x = 40,362.24 × 7,186.20
  4. Step 4: Simplify right side
    26,906.46x = 290,051,129.09
  5. Step 5: Solve for x
    x = 290,051,129.09/26,906.46
  6. Step 6: Final answer
    x = 10,779.98

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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.