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Finding the Fourth Proportional to 26,796.30, 40,171.77 and 10,147.16

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Solution

The fourth proportional to 26,796.30, 40,171.77 and 10,147.16 is: 15,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,796.30 : 40,171.77 = 10,147.16 : x
  2. Step 2: Convert to fraction form
    26,796.30/40,171.77 = 10,147.16/x
  3. Step 3: Cross multiply
    26,796.30x = 40,171.77 × 10,147.16
  4. Step 4: Simplify right side
    26,796.30x = 407,629,176.81
  5. Step 5: Solve for x
    x = 407,629,176.81/26,796.30
  6. Step 6: Final answer
    x = 15,212.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.