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Finding the Fourth Proportional to 23,609.50, 35,414.25 and 7,193.50

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Solution

The fourth proportional to 23,609.50, 35,414.25 and 7,193.50 is: 10,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.50 : 35,414.25 = 7,193.50 : x
  2. Step 2: Convert to fraction form
    23,609.50/35,414.25 = 7,193.50/x
  3. Step 3: Cross multiply
    23,609.50x = 35,414.25 × 7,193.50
  4. Step 4: Simplify right side
    23,609.50x = 254,752,407.38
  5. Step 5: Solve for x
    x = 254,752,407.38/23,609.50
  6. Step 6: Final answer
    x = 10,790.25

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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.