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Finding the Fourth Proportional to 20,570.49, 30,786.62 and 11,792.25

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Solution

The fourth proportional to 20,570.49, 30,786.62 and 11,792.25 is: 17,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.49 : 30,786.62 = 11,792.25 : x
  2. Step 2: Convert to fraction form
    20,570.49/30,786.62 = 11,792.25/x
  3. Step 3: Cross multiply
    20,570.49x = 30,786.62 × 11,792.25
  4. Step 4: Simplify right side
    20,570.49x = 363,043,460.73
  5. Step 5: Solve for x
    x = 363,043,460.73/20,570.49
  6. Step 6: Final answer
    x = 17,648.75

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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.