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Finding the Fourth Proportional to 13,193.84, 19,791.36 and 7,346.04

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Solution

The fourth proportional to 13,193.84, 19,791.36 and 7,346.04 is: 11,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.84 : 19,791.36 = 7,346.04 : x
  2. Step 2: Convert to fraction form
    13,193.84/19,791.36 = 7,346.04/x
  3. Step 3: Cross multiply
    13,193.84x = 19,791.36 × 7,346.04
  4. Step 4: Simplify right side
    13,193.84x = 145,388,122.21
  5. Step 5: Solve for x
    x = 145,388,122.21/13,193.84
  6. Step 6: Final answer
    x = 11,019.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.