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Finding the Fourth Proportional to 17,794.50, 24,556.23 and 9,836.34

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Solution

The fourth proportional to 17,794.50, 24,556.23 and 9,836.34 is: 13,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.50 : 24,556.23 = 9,836.34 : x
  2. Step 2: Convert to fraction form
    17,794.50/24,556.23 = 9,836.34/x
  3. Step 3: Cross multiply
    17,794.50x = 24,556.23 × 9,836.34
  4. Step 4: Simplify right side
    17,794.50x = 241,543,427.40
  5. Step 5: Solve for x
    x = 241,543,427.40/17,794.50
  6. Step 6: Final answer
    x = 13,574.05

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1.5x scale

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.