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Finding the Fourth Proportional to 24,211.99, 33,413.41 and 13,457.08

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Solution

The fourth proportional to 24,211.99, 33,413.41 and 13,457.08 is: 18,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.99 : 33,413.41 = 13,457.08 : x
  2. Step 2: Convert to fraction form
    24,211.99/33,413.41 = 13,457.08/x
  3. Step 3: Cross multiply
    24,211.99x = 33,413.41 × 13,457.08
  4. Step 4: Simplify right side
    24,211.99x = 449,646,697.09
  5. Step 5: Solve for x
    x = 449,646,697.09/24,211.99
  6. Step 6: Final answer
    x = 18,571.24

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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.