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Finding the Fourth Proportional to 16,993.50, 23,452.47 and 9,542.94

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Solution

The fourth proportional to 16,993.50, 23,452.47 and 9,542.94 is: 13,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.50 : 23,452.47 = 9,542.94 : x
  2. Step 2: Convert to fraction form
    16,993.50/23,452.47 = 9,542.94/x
  3. Step 3: Cross multiply
    16,993.50x = 23,452.47 × 9,542.94
  4. Step 4: Simplify right side
    16,993.50x = 223,805,514.06
  5. Step 5: Solve for x
    x = 223,805,514.06/16,993.50
  6. Step 6: Final answer
    x = 13,170.07

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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.