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Finding the Fourth Proportional to 20,175, 30,197.80 and 10,791.56

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Solution

The fourth proportional to 20,175, 30,197.80 and 10,791.56 is: 16,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175 : 30,197.80 = 10,791.56 : x
  2. Step 2: Convert to fraction form
    20,175/30,197.80 = 10,791.56/x
  3. Step 3: Cross multiply
    20,175x = 30,197.80 × 10,791.56
  4. Step 4: Simplify right side
    20,175x = 325,881,370.57
  5. Step 5: Solve for x
    x = 325,881,370.57/20,175
  6. Step 6: Final answer
    x = 16,152.73

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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.