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Finding the Fourth Proportional to 36,413.28, 54,633 and 12,724.26

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Solution

The fourth proportional to 36,413.28, 54,633 and 12,724.26 is: 19,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413.28 : 54,633 = 12,724.26 : x
  2. Step 2: Convert to fraction form
    36,413.28/54,633 = 12,724.26/x
  3. Step 3: Cross multiply
    36,413.28x = 54,633 × 12,724.26
  4. Step 4: Simplify right side
    36,413.28x = 695,164,496.58
  5. Step 5: Solve for x
    x = 695,164,496.58/36,413.28
  6. Step 6: Final answer
    x = 19,090.96

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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.