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Finding the Fourth Proportional to 15,970.36, 23,961 and 6,112.46

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Solution

The fourth proportional to 15,970.36, 23,961 and 6,112.46 is: 9,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.36 : 23,961 = 6,112.46 : x
  2. Step 2: Convert to fraction form
    15,970.36/23,961 = 6,112.46/x
  3. Step 3: Cross multiply
    15,970.36x = 23,961 × 6,112.46
  4. Step 4: Simplify right side
    15,970.36x = 146,460,654.06
  5. Step 5: Solve for x
    x = 146,460,654.06/15,970.36
  6. Step 6: Final answer
    x = 9,170.78

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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.