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Finding the Fourth Proportional to 26,146.56, 39,226.32 and 7,678.56

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Solution

The fourth proportional to 26,146.56, 39,226.32 and 7,678.56 is: 11,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146.56 : 39,226.32 = 7,678.56 : x
  2. Step 2: Convert to fraction form
    26,146.56/39,226.32 = 7,678.56/x
  3. Step 3: Cross multiply
    26,146.56x = 39,226.32 × 7,678.56
  4. Step 4: Simplify right side
    26,146.56x = 301,201,651.70
  5. Step 5: Solve for x
    x = 301,201,651.70/26,146.56
  6. Step 6: Final answer
    x = 11,519.74

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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.