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Finding the Fourth Proportional to 26,175.65, 39,262.87 and 8,406.28

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Solution

The fourth proportional to 26,175.65, 39,262.87 and 8,406.28 is: 12,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,175.65 : 39,262.87 = 8,406.28 : x
  2. Step 2: Convert to fraction form
    26,175.65/39,262.87 = 8,406.28/x
  3. Step 3: Cross multiply
    26,175.65x = 39,262.87 × 8,406.28
  4. Step 4: Simplify right side
    26,175.65x = 330,054,559.65
  5. Step 5: Solve for x
    x = 330,054,559.65/26,175.65
  6. Step 6: Final answer
    x = 12,609.22

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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.