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Finding the Fourth Proportional to 26,941.88, 40,418.22 and 9,407

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Solution

The fourth proportional to 26,941.88, 40,418.22 and 9,407 is: 14,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,941.88 : 40,418.22 = 9,407 : x
  2. Step 2: Convert to fraction form
    26,941.88/40,418.22 = 9,407/x
  3. Step 3: Cross multiply
    26,941.88x = 40,418.22 × 9,407
  4. Step 4: Simplify right side
    26,941.88x = 380,214,195.54
  5. Step 5: Solve for x
    x = 380,214,195.54/26,941.88
  6. Step 6: Final answer
    x = 14,112.39

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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.