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Finding the Fourth Proportional to 17,047.38, 23,525.31 and 9,493.80

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Solution

The fourth proportional to 17,047.38, 23,525.31 and 9,493.80 is: 13,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.38 : 23,525.31 = 9,493.80 : x
  2. Step 2: Convert to fraction form
    17,047.38/23,525.31 = 9,493.80/x
  3. Step 3: Cross multiply
    17,047.38x = 23,525.31 × 9,493.80
  4. Step 4: Simplify right side
    17,047.38x = 223,344,588.08
  5. Step 5: Solve for x
    x = 223,344,588.08/17,047.38
  6. Step 6: Final answer
    x = 13,101.40

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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.