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Finding the Fourth Proportional to 14,016.57, 19,342.76 and 7,728.95

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Solution

The fourth proportional to 14,016.57, 19,342.76 and 7,728.95 is: 10,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.57 : 19,342.76 = 7,728.95 : x
  2. Step 2: Convert to fraction form
    14,016.57/19,342.76 = 7,728.95/x
  3. Step 3: Cross multiply
    14,016.57x = 19,342.76 × 7,728.95
  4. Step 4: Simplify right side
    14,016.57x = 149,499,089.54
  5. Step 5: Solve for x
    x = 149,499,089.54/14,016.57
  6. Step 6: Final answer
    x = 10,665.88

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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.