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Finding the Fourth Proportional to 17,106, 25,660.44 and 4,794

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Solution

The fourth proportional to 17,106, 25,660.44 and 4,794 is: 7,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106 : 25,660.44 = 4,794 : x
  2. Step 2: Convert to fraction form
    17,106/25,660.44 = 4,794/x
  3. Step 3: Cross multiply
    17,106x = 25,660.44 × 4,794
  4. Step 4: Simplify right side
    17,106x = 123,016,149.36
  5. Step 5: Solve for x
    x = 123,016,149.36/17,106
  6. Step 6: Final answer
    x = 7,191.40

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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.