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Finding the Fourth Proportional to 14,016.16, 19,342.22 and 7,728.54

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Solution

The fourth proportional to 14,016.16, 19,342.22 and 7,728.54 is: 10,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.16 : 19,342.22 = 7,728.54 : x
  2. Step 2: Convert to fraction form
    14,016.16/19,342.22 = 7,728.54/x
  3. Step 3: Cross multiply
    14,016.16x = 19,342.22 × 7,728.54
  4. Step 4: Simplify right side
    14,016.16x = 149,487,120.96
  5. Step 5: Solve for x
    x = 149,487,120.96/14,016.16
  6. Step 6: Final answer
    x = 10,665.34

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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.