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Finding the Fourth Proportional to 14,101.97, 19,459.76 and 7,728.48

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Solution

The fourth proportional to 14,101.97, 19,459.76 and 7,728.48 is: 10,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.97 : 19,459.76 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    14,101.97/19,459.76 = 7,728.48/x
  3. Step 3: Cross multiply
    14,101.97x = 19,459.76 × 7,728.48
  4. Step 4: Simplify right side
    14,101.97x = 150,394,327.32
  5. Step 5: Solve for x
    x = 150,394,327.32/14,101.97
  6. Step 6: Final answer
    x = 10,664.78

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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.