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Finding the Fourth Proportional to 23,460.96, 35,194.64 and 7,883.04

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Solution

The fourth proportional to 23,460.96, 35,194.64 and 7,883.04 is: 11,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460.96 : 35,194.64 = 7,883.04 : x
  2. Step 2: Convert to fraction form
    23,460.96/35,194.64 = 7,883.04/x
  3. Step 3: Cross multiply
    23,460.96x = 35,194.64 × 7,883.04
  4. Step 4: Simplify right side
    23,460.96x = 277,440,754.91
  5. Step 5: Solve for x
    x = 277,440,754.91/23,460.96
  6. Step 6: Final answer
    x = 11,825.64

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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.