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Finding the Fourth Proportional to 17,609.04, 26,414.37 and 7,213.50

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Solution

The fourth proportional to 17,609.04, 26,414.37 and 7,213.50 is: 10,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.04 : 26,414.37 = 7,213.50 : x
  2. Step 2: Convert to fraction form
    17,609.04/26,414.37 = 7,213.50/x
  3. Step 3: Cross multiply
    17,609.04x = 26,414.37 × 7,213.50
  4. Step 4: Simplify right side
    17,609.04x = 190,540,058.00
  5. Step 5: Solve for x
    x = 190,540,058.00/17,609.04
  6. Step 6: Final answer
    x = 10,820.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.