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Finding the Fourth Proportional to 24,469.84, 33,769.18 and 13,859.24

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Solution

The fourth proportional to 24,469.84, 33,769.18 and 13,859.24 is: 19,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.84 : 33,769.18 = 13,859.24 : x
  2. Step 2: Convert to fraction form
    24,469.84/33,769.18 = 13,859.24/x
  3. Step 3: Cross multiply
    24,469.84x = 33,769.18 × 13,859.24
  4. Step 4: Simplify right side
    24,469.84x = 468,015,170.22
  5. Step 5: Solve for x
    x = 468,015,170.22/24,469.84
  6. Step 6: Final answer
    x = 19,126.20

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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.