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Finding the Fourth Proportional to 24,309.75, 33,546.62 and 13,698.75

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Solution

The fourth proportional to 24,309.75, 33,546.62 and 13,698.75 is: 18,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.75 : 33,546.62 = 13,698.75 : x
  2. Step 2: Convert to fraction form
    24,309.75/33,546.62 = 13,698.75/x
  3. Step 3: Cross multiply
    24,309.75x = 33,546.62 × 13,698.75
  4. Step 4: Simplify right side
    24,309.75x = 459,546,692.23
  5. Step 5: Solve for x
    x = 459,546,692.23/24,309.75
  6. Step 6: Final answer
    x = 18,903.80

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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.