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Finding the Fourth Proportional to 19,538.60, 29,309.26 and 7,851.82

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Solution

The fourth proportional to 19,538.60, 29,309.26 and 7,851.82 is: 11,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.60 : 29,309.26 = 7,851.82 : x
  2. Step 2: Convert to fraction form
    19,538.60/29,309.26 = 7,851.82/x
  3. Step 3: Cross multiply
    19,538.60x = 29,309.26 × 7,851.82
  4. Step 4: Simplify right side
    19,538.60x = 230,131,033.85
  5. Step 5: Solve for x
    x = 230,131,033.85/19,538.60
  6. Step 6: Final answer
    x = 11,778.28

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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.