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Finding the Fourth Proportional to 20,691.20, 31,051.20 and 9,012.80

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Solution

The fourth proportional to 20,691.20, 31,051.20 and 9,012.80 is: 13,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.20 : 31,051.20 = 9,012.80 : x
  2. Step 2: Convert to fraction form
    20,691.20/31,051.20 = 9,012.80/x
  3. Step 3: Cross multiply
    20,691.20x = 31,051.20 × 9,012.80
  4. Step 4: Simplify right side
    20,691.20x = 279,858,255.36
  5. Step 5: Solve for x
    x = 279,858,255.36/20,691.20
  6. Step 6: Final answer
    x = 13,525.47

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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.