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Finding the Fourth Proportional to 13,093.97, 19,634.40 and 6,523.79

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Solution

The fourth proportional to 13,093.97, 19,634.40 and 6,523.79 is: 9,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.97 : 19,634.40 = 6,523.79 : x
  2. Step 2: Convert to fraction form
    13,093.97/19,634.40 = 6,523.79/x
  3. Step 3: Cross multiply
    13,093.97x = 19,634.40 × 6,523.79
  4. Step 4: Simplify right side
    13,093.97x = 128,090,604.20
  5. Step 5: Solve for x
    x = 128,090,604.20/13,093.97
  6. Step 6: Final answer
    x = 9,782.42

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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.