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Finding the Fourth Proportional to 34,209.21, 47,205.11 and 19,866.24

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Solution

The fourth proportional to 34,209.21, 47,205.11 and 19,866.24 is: 27,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.21 : 47,205.11 = 19,866.24 : x
  2. Step 2: Convert to fraction form
    34,209.21/47,205.11 = 19,866.24/x
  3. Step 3: Cross multiply
    34,209.21x = 47,205.11 × 19,866.24
  4. Step 4: Simplify right side
    34,209.21x = 937,787,945.16
  5. Step 5: Solve for x
    x = 937,787,945.16/34,209.21
  6. Step 6: Final answer
    x = 27,413.32

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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.