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Finding the Fourth Proportional to 13,199.36, 19,788.16 and 10,728

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Solution

The fourth proportional to 13,199.36, 19,788.16 and 10,728 is: 16,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.36 : 19,788.16 = 10,728 : x
  2. Step 2: Convert to fraction form
    13,199.36/19,788.16 = 10,728/x
  3. Step 3: Cross multiply
    13,199.36x = 19,788.16 × 10,728
  4. Step 4: Simplify right side
    13,199.36x = 212,287,380.48
  5. Step 5: Solve for x
    x = 212,287,380.48/13,199.36
  6. Step 6: Final answer
    x = 16,083.16

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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.