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Finding the Fourth Proportional to 16,936, 25,408.05 and 10,735.84

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Solution

The fourth proportional to 16,936, 25,408.05 and 10,735.84 is: 16,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936 : 25,408.05 = 10,735.84 : x
  2. Step 2: Convert to fraction form
    16,936/25,408.05 = 10,735.84/x
  3. Step 3: Cross multiply
    16,936x = 25,408.05 × 10,735.84
  4. Step 4: Simplify right side
    16,936x = 272,776,759.51
  5. Step 5: Solve for x
    x = 272,776,759.51/16,936
  6. Step 6: Final answer
    x = 16,106.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.