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Finding the Fourth Proportional to 19,536.25, 29,286.42 and 7,053.34

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Solution

The fourth proportional to 19,536.25, 29,286.42 and 7,053.34 is: 10,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.25 : 29,286.42 = 7,053.34 : x
  2. Step 2: Convert to fraction form
    19,536.25/29,286.42 = 7,053.34/x
  3. Step 3: Cross multiply
    19,536.25x = 29,286.42 × 7,053.34
  4. Step 4: Simplify right side
    19,536.25x = 206,567,077.64
  5. Step 5: Solve for x
    x = 206,567,077.64/19,536.25
  6. Step 6: Final answer
    x = 10,573.53

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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.