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Finding the Fourth Proportional to 26,226.12, 39,339.18 and 7,758.12

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Solution

The fourth proportional to 26,226.12, 39,339.18 and 7,758.12 is: 11,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226.12 : 39,339.18 = 7,758.12 : x
  2. Step 2: Convert to fraction form
    26,226.12/39,339.18 = 7,758.12/x
  3. Step 3: Cross multiply
    26,226.12x = 39,339.18 × 7,758.12
  4. Step 4: Simplify right side
    26,226.12x = 305,198,079.14
  5. Step 5: Solve for x
    x = 305,198,079.14/26,226.12
  6. Step 6: Final answer
    x = 11,637.18

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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.