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Finding the Fourth Proportional to 17,100.94, 25,634.34 and 8,199.84

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Solution

The fourth proportional to 17,100.94, 25,634.34 and 8,199.84 is: 12,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.94 : 25,634.34 = 8,199.84 : x
  2. Step 2: Convert to fraction form
    17,100.94/25,634.34 = 8,199.84/x
  3. Step 3: Cross multiply
    17,100.94x = 25,634.34 × 8,199.84
  4. Step 4: Simplify right side
    17,100.94x = 210,197,486.51
  5. Step 5: Solve for x
    x = 210,197,486.51/17,100.94
  6. Step 6: Final answer
    x = 12,291.57

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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.