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Finding the Fourth Proportional to 17,923.97, 26,885.34 and 6,830.25

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Solution

The fourth proportional to 17,923.97, 26,885.34 and 6,830.25 is: 10,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.97 : 26,885.34 = 6,830.25 : x
  2. Step 2: Convert to fraction form
    17,923.97/26,885.34 = 6,830.25/x
  3. Step 3: Cross multiply
    17,923.97x = 26,885.34 × 6,830.25
  4. Step 4: Simplify right side
    17,923.97x = 183,633,593.54
  5. Step 5: Solve for x
    x = 183,633,593.54/17,923.97
  6. Step 6: Final answer
    x = 10,245.14

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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.