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Finding the Fourth Proportional to 23,770.92, 35,636.94 and 8,971.41

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Solution

The fourth proportional to 23,770.92, 35,636.94 and 8,971.41 is: 13,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.92 : 35,636.94 = 8,971.41 : x
  2. Step 2: Convert to fraction form
    23,770.92/35,636.94 = 8,971.41/x
  3. Step 3: Cross multiply
    23,770.92x = 35,636.94 × 8,971.41
  4. Step 4: Simplify right side
    23,770.92x = 319,713,599.89
  5. Step 5: Solve for x
    x = 319,713,599.89/23,770.92
  6. Step 6: Final answer
    x = 13,449.78

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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.