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Finding the Fourth Proportional to 13,839.40, 19,092 and 8,172.64

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Solution

The fourth proportional to 13,839.40, 19,092 and 8,172.64 is: 11,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.40 : 19,092 = 8,172.64 : x
  2. Step 2: Convert to fraction form
    13,839.40/19,092 = 8,172.64/x
  3. Step 3: Cross multiply
    13,839.40x = 19,092 × 8,172.64
  4. Step 4: Simplify right side
    13,839.40x = 156,032,042.88
  5. Step 5: Solve for x
    x = 156,032,042.88/13,839.40
  6. Step 6: Final answer
    x = 11,274.48

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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.