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Finding the Fourth Proportional to 13,894.26, 19,174.17 and 7,606.64

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Solution

The fourth proportional to 13,894.26, 19,174.17 and 7,606.64 is: 10,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.26 : 19,174.17 = 7,606.64 : x
  2. Step 2: Convert to fraction form
    13,894.26/19,174.17 = 7,606.64/x
  3. Step 3: Cross multiply
    13,894.26x = 19,174.17 × 7,606.64
  4. Step 4: Simplify right side
    13,894.26x = 145,850,912.62
  5. Step 5: Solve for x
    x = 145,850,912.62/13,894.26
  6. Step 6: Final answer
    x = 10,497.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.