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Finding the Fourth Proportional to 17,224.48, 25,822.14 and 6,830.56

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Solution

The fourth proportional to 17,224.48, 25,822.14 and 6,830.56 is: 10,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.48 : 25,822.14 = 6,830.56 : x
  2. Step 2: Convert to fraction form
    17,224.48/25,822.14 = 6,830.56/x
  3. Step 3: Cross multiply
    17,224.48x = 25,822.14 × 6,830.56
  4. Step 4: Simplify right side
    17,224.48x = 176,379,676.60
  5. Step 5: Solve for x
    x = 176,379,676.60/17,224.48
  6. Step 6: Final answer
    x = 10,240.06

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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.