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Finding the Fourth Proportional to 19,605.54, 29,413.26 and 8,509.53

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Solution

The fourth proportional to 19,605.54, 29,413.26 and 8,509.53 is: 12,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.54 : 29,413.26 = 8,509.53 : x
  2. Step 2: Convert to fraction form
    19,605.54/29,413.26 = 8,509.53/x
  3. Step 3: Cross multiply
    19,605.54x = 29,413.26 × 8,509.53
  4. Step 4: Simplify right side
    19,605.54x = 250,293,018.37
  5. Step 5: Solve for x
    x = 250,293,018.37/19,605.54
  6. Step 6: Final answer
    x = 12,766.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.