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Finding the Fourth Proportional to 24,409.25, 33,684.79 and 13,231.25

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Solution

The fourth proportional to 24,409.25, 33,684.79 and 13,231.25 is: 18,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.25 : 33,684.79 = 13,231.25 : x
  2. Step 2: Convert to fraction form
    24,409.25/33,684.79 = 13,231.25/x
  3. Step 3: Cross multiply
    24,409.25x = 33,684.79 × 13,231.25
  4. Step 4: Simplify right side
    24,409.25x = 445,691,877.69
  5. Step 5: Solve for x
    x = 445,691,877.69/24,409.25
  6. Step 6: Final answer
    x = 18,259.14

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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.