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Finding the Fourth Proportional to 24,212.98, 33,413.88 and 13,457.80

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Solution

The fourth proportional to 24,212.98, 33,413.88 and 13,457.80 is: 18,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.98 : 33,413.88 = 13,457.80 : x
  2. Step 2: Convert to fraction form
    24,212.98/33,413.88 = 13,457.80/x
  3. Step 3: Cross multiply
    24,212.98x = 33,413.88 × 13,457.80
  4. Step 4: Simplify right side
    24,212.98x = 449,677,314.26
  5. Step 5: Solve for x
    x = 449,677,314.26/24,212.98
  6. Step 6: Final answer
    x = 18,571.75

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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.