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Finding the Fourth Proportional to 17,059.92, 23,542.34 and 9,506.22

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Solution

The fourth proportional to 17,059.92, 23,542.34 and 9,506.22 is: 13,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.92 : 23,542.34 = 9,506.22 : x
  2. Step 2: Convert to fraction form
    17,059.92/23,542.34 = 9,506.22/x
  3. Step 3: Cross multiply
    17,059.92x = 23,542.34 × 9,506.22
  4. Step 4: Simplify right side
    17,059.92x = 223,798,615.82
  5. Step 5: Solve for x
    x = 223,798,615.82/17,059.92
  6. Step 6: Final answer
    x = 13,118.39

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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.