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Finding the Fourth Proportional to 16,936, 25,394.72 and 5,836.48

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Solution

The fourth proportional to 16,936, 25,394.72 and 5,836.48 is: 8,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936 : 25,394.72 = 5,836.48 : x
  2. Step 2: Convert to fraction form
    16,936/25,394.72 = 5,836.48/x
  3. Step 3: Cross multiply
    16,936x = 25,394.72 × 5,836.48
  4. Step 4: Simplify right side
    16,936x = 148,215,775.39
  5. Step 5: Solve for x
    x = 148,215,775.39/16,936
  6. Step 6: Final answer
    x = 8,751.52

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Why These Related Problems?

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