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Finding the Fourth Proportional to 14,016.08, 19,342.16 and 7,728.48

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Solution

The fourth proportional to 14,016.08, 19,342.16 and 7,728.48 is: 10,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.08 : 19,342.16 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    14,016.08/19,342.16 = 7,728.48/x
  3. Step 3: Cross multiply
    14,016.08x = 19,342.16 × 7,728.48
  4. Step 4: Simplify right side
    14,016.08x = 149,485,496.72
  5. Step 5: Solve for x
    x = 149,485,496.72/14,016.08
  6. Step 6: Final answer
    x = 10,665.29

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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.