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Finding the Fourth Proportional to 26,549.67, 39,824.46 and 6,828.20

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Solution

The fourth proportional to 26,549.67, 39,824.46 and 6,828.20 is: 10,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.67 : 39,824.46 = 6,828.20 : x
  2. Step 2: Convert to fraction form
    26,549.67/39,824.46 = 6,828.20/x
  3. Step 3: Cross multiply
    26,549.67x = 39,824.46 × 6,828.20
  4. Step 4: Simplify right side
    26,549.67x = 271,929,327.99
  5. Step 5: Solve for x
    x = 271,929,327.99/26,549.67
  6. Step 6: Final answer
    x = 10,242.29

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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.