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Finding the Fourth Proportional to 28,526.42, 39,382 and 17,198.84

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Solution

The fourth proportional to 28,526.42, 39,382 and 17,198.84 is: 23,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,526.42 : 39,382 = 17,198.84 : x
  2. Step 2: Convert to fraction form
    28,526.42/39,382 = 17,198.84/x
  3. Step 3: Cross multiply
    28,526.42x = 39,382 × 17,198.84
  4. Step 4: Simplify right side
    28,526.42x = 677,324,716.88
  5. Step 5: Solve for x
    x = 677,324,716.88/28,526.42
  6. Step 6: Final answer
    x = 23,743.77

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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.