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Finding the Fourth Proportional to 14,243.14, 19,652.54 and 8,271.73

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Solution

The fourth proportional to 14,243.14, 19,652.54 and 8,271.73 is: 11,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.14 : 19,652.54 = 8,271.73 : x
  2. Step 2: Convert to fraction form
    14,243.14/19,652.54 = 8,271.73/x
  3. Step 3: Cross multiply
    14,243.14x = 19,652.54 × 8,271.73
  4. Step 4: Simplify right side
    14,243.14x = 162,560,463.34
  5. Step 5: Solve for x
    x = 162,560,463.34/14,243.14
  6. Step 6: Final answer
    x = 11,413.25

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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.