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Finding the Fourth Proportional to 19,696.14, 29,525.51 and 7,857.18

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Solution

The fourth proportional to 19,696.14, 29,525.51 and 7,857.18 is: 11,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.14 : 29,525.51 = 7,857.18 : x
  2. Step 2: Convert to fraction form
    19,696.14/29,525.51 = 7,857.18/x
  3. Step 3: Cross multiply
    19,696.14x = 29,525.51 × 7,857.18
  4. Step 4: Simplify right side
    19,696.14x = 231,987,266.30
  5. Step 5: Solve for x
    x = 231,987,266.30/19,696.14
  6. Step 6: Final answer
    x = 11,778.31

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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.