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Finding the Fourth Proportional to 26,784.36, 40,194.96 and 9,254.22

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Solution

The fourth proportional to 26,784.36, 40,194.96 and 9,254.22 is: 13,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784.36 : 40,194.96 = 9,254.22 : x
  2. Step 2: Convert to fraction form
    26,784.36/40,194.96 = 9,254.22/x
  3. Step 3: Cross multiply
    26,784.36x = 40,194.96 × 9,254.22
  4. Step 4: Simplify right side
    26,784.36x = 371,973,002.73
  5. Step 5: Solve for x
    x = 371,973,002.73/26,784.36
  6. Step 6: Final answer
    x = 13,887.69

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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.