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Finding the Fourth Proportional to 14,163.50, 19,546.84 and 7,877.10

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Solution

The fourth proportional to 14,163.50, 19,546.84 and 7,877.10 is: 10,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.50 : 19,546.84 = 7,877.10 : x
  2. Step 2: Convert to fraction form
    14,163.50/19,546.84 = 7,877.10/x
  3. Step 3: Cross multiply
    14,163.50x = 19,546.84 × 7,877.10
  4. Step 4: Simplify right side
    14,163.50x = 153,972,413.36
  5. Step 5: Solve for x
    x = 153,972,413.36/14,163.50
  6. Step 6: Final answer
    x = 10,871.07

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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.