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Finding the Fourth Proportional to 26,822.31, 40,233.48 and 9,292.14

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Solution

The fourth proportional to 26,822.31, 40,233.48 and 9,292.14 is: 13,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.31 : 40,233.48 = 9,292.14 : x
  2. Step 2: Convert to fraction form
    26,822.31/40,233.48 = 9,292.14/x
  3. Step 3: Cross multiply
    26,822.31x = 40,233.48 × 9,292.14
  4. Step 4: Simplify right side
    26,822.31x = 373,855,128.85
  5. Step 5: Solve for x
    x = 373,855,128.85/26,822.31
  6. Step 6: Final answer
    x = 13,938.22

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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.