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Finding the Fourth Proportional to 23,511.22, 35,242.02 and 7,712.12

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Solution

The fourth proportional to 23,511.22, 35,242.02 and 7,712.12 is: 11,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.22 : 35,242.02 = 7,712.12 : x
  2. Step 2: Convert to fraction form
    23,511.22/35,242.02 = 7,712.12/x
  3. Step 3: Cross multiply
    23,511.22x = 35,242.02 × 7,712.12
  4. Step 4: Simplify right side
    23,511.22x = 271,790,687.28
  5. Step 5: Solve for x
    x = 271,790,687.28/23,511.22
  6. Step 6: Final answer
    x = 11,560.04

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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.