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Finding the Fourth Proportional to 23,770.76, 35,644.17 and 7,970.28

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Solution

The fourth proportional to 23,770.76, 35,644.17 and 7,970.28 is: 11,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.76 : 35,644.17 = 7,970.28 : x
  2. Step 2: Convert to fraction form
    23,770.76/35,644.17 = 7,970.28/x
  3. Step 3: Cross multiply
    23,770.76x = 35,644.17 × 7,970.28
  4. Step 4: Simplify right side
    23,770.76x = 284,094,015.27
  5. Step 5: Solve for x
    x = 284,094,015.27/23,770.76
  6. Step 6: Final answer
    x = 11,951.41

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