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Finding the Fourth Proportional to 13,193.96, 19,791.75 and 5,801.90

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Solution

The fourth proportional to 13,193.96, 19,791.75 and 5,801.90 is: 8,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.96 : 19,791.75 = 5,801.90 : x
  2. Step 2: Convert to fraction form
    13,193.96/19,791.75 = 5,801.90/x
  3. Step 3: Cross multiply
    13,193.96x = 19,791.75 × 5,801.90
  4. Step 4: Simplify right side
    13,193.96x = 114,829,754.33
  5. Step 5: Solve for x
    x = 114,829,754.33/13,193.96
  6. Step 6: Final answer
    x = 8,703.21

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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.