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Finding the Fourth Proportional to 23,790.24, 35,661.06 and 8,194.50

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Solution

The fourth proportional to 23,790.24, 35,661.06 and 8,194.50 is: 12,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790.24 : 35,661.06 = 8,194.50 : x
  2. Step 2: Convert to fraction form
    23,790.24/35,661.06 = 8,194.50/x
  3. Step 3: Cross multiply
    23,790.24x = 35,661.06 × 8,194.50
  4. Step 4: Simplify right side
    23,790.24x = 292,224,556.17
  5. Step 5: Solve for x
    x = 292,224,556.17/23,790.24
  6. Step 6: Final answer
    x = 12,283.38

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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.