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Finding the Fourth Proportional to 24,361.49, 33,616 and 13,750.49

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Solution

The fourth proportional to 24,361.49, 33,616 and 13,750.49 is: 18,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.49 : 33,616 = 13,750.49 : x
  2. Step 2: Convert to fraction form
    24,361.49/33,616 = 13,750.49/x
  3. Step 3: Cross multiply
    24,361.49x = 33,616 × 13,750.49
  4. Step 4: Simplify right side
    24,361.49x = 462,236,471.84
  5. Step 5: Solve for x
    x = 462,236,471.84/24,361.49
  6. Step 6: Final answer
    x = 18,974.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.