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Finding the Fourth Proportional to 26,741.72, 40,112.04 and 9,211.16

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Solution

The fourth proportional to 26,741.72, 40,112.04 and 9,211.16 is: 13,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741.72 : 40,112.04 = 9,211.16 : x
  2. Step 2: Convert to fraction form
    26,741.72/40,112.04 = 9,211.16/x
  3. Step 3: Cross multiply
    26,741.72x = 40,112.04 × 9,211.16
  4. Step 4: Simplify right side
    26,741.72x = 369,478,418.37
  5. Step 5: Solve for x
    x = 369,478,418.37/26,741.72
  6. Step 6: Final answer
    x = 13,816.55

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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.