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Finding the Fourth Proportional to 13,190.34, 19,786.11 and 7,342.54

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Solution

The fourth proportional to 13,190.34, 19,786.11 and 7,342.54 is: 11,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.34 : 19,786.11 = 7,342.54 : x
  2. Step 2: Convert to fraction form
    13,190.34/19,786.11 = 7,342.54/x
  3. Step 3: Cross multiply
    13,190.34x = 19,786.11 × 7,342.54
  4. Step 4: Simplify right side
    13,190.34x = 145,280,304.12
  5. Step 5: Solve for x
    x = 145,280,304.12/13,190.34
  6. Step 6: Final answer
    x = 11,014.14

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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.