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Finding the Fourth Proportional to 26,822.30, 40,233.49 and 9,292.13

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Solution

The fourth proportional to 26,822.30, 40,233.49 and 9,292.13 is: 13,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.30 : 40,233.49 = 9,292.13 : x
  2. Step 2: Convert to fraction form
    26,822.30/40,233.49 = 9,292.13/x
  3. Step 3: Cross multiply
    26,822.30x = 40,233.49 × 9,292.13
  4. Step 4: Simplify right side
    26,822.30x = 373,854,819.43
  5. Step 5: Solve for x
    x = 373,854,819.43/26,822.30
  6. Step 6: Final answer
    x = 13,938.21

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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.