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Finding the Fourth Proportional to 26,297.16, 39,449.22 and 9,653.16

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Solution

The fourth proportional to 26,297.16, 39,449.22 and 9,653.16 is: 14,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297.16 : 39,449.22 = 9,653.16 : x
  2. Step 2: Convert to fraction form
    26,297.16/39,449.22 = 9,653.16/x
  3. Step 3: Cross multiply
    26,297.16x = 39,449.22 × 9,653.16
  4. Step 4: Simplify right side
    26,297.16x = 380,809,632.54
  5. Step 5: Solve for x
    x = 380,809,632.54/26,297.16
  6. Step 6: Final answer
    x = 14,481.02

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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.