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Finding the Fourth Proportional to 14,015.72, 19,340.78 and 7,728.10

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Solution

The fourth proportional to 14,015.72, 19,340.78 and 7,728.10 is: 10,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.72 : 19,340.78 = 7,728.10 : x
  2. Step 2: Convert to fraction form
    14,015.72/19,340.78 = 7,728.10/x
  3. Step 3: Cross multiply
    14,015.72x = 19,340.78 × 7,728.10
  4. Step 4: Simplify right side
    14,015.72x = 149,467,481.92
  5. Step 5: Solve for x
    x = 149,467,481.92/14,015.72
  6. Step 6: Final answer
    x = 10,664.27

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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.