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Finding the Fourth Proportional to 13,838.44, 19,092.60 and 8,173.40

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Solution

The fourth proportional to 13,838.44, 19,092.60 and 8,173.40 is: 11,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.44 : 19,092.60 = 8,173.40 : x
  2. Step 2: Convert to fraction form
    13,838.44/19,092.60 = 8,173.40/x
  3. Step 3: Cross multiply
    13,838.44x = 19,092.60 × 8,173.40
  4. Step 4: Simplify right side
    13,838.44x = 156,051,456.84
  5. Step 5: Solve for x
    x = 156,051,456.84/13,838.44
  6. Step 6: Final answer
    x = 11,276.67

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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.