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Finding the Fourth Proportional to 17,379.22, 23,983.02 and 9,825.42

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Solution

The fourth proportional to 17,379.22, 23,983.02 and 9,825.42 is: 13,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379.22 : 23,983.02 = 9,825.42 : x
  2. Step 2: Convert to fraction form
    17,379.22/23,983.02 = 9,825.42/x
  3. Step 3: Cross multiply
    17,379.22x = 23,983.02 × 9,825.42
  4. Step 4: Simplify right side
    17,379.22x = 235,643,244.37
  5. Step 5: Solve for x
    x = 235,643,244.37/17,379.22
  6. Step 6: Final answer
    x = 13,558.91

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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.