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Finding the Fourth Proportional to 23,577.80, 35,368.30 and 7,996.60

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Solution

The fourth proportional to 23,577.80, 35,368.30 and 7,996.60 is: 11,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.80 : 35,368.30 = 7,996.60 : x
  2. Step 2: Convert to fraction form
    23,577.80/35,368.30 = 7,996.60/x
  3. Step 3: Cross multiply
    23,577.80x = 35,368.30 × 7,996.60
  4. Step 4: Simplify right side
    23,577.80x = 282,826,147.78
  5. Step 5: Solve for x
    x = 282,826,147.78/23,577.80
  6. Step 6: Final answer
    x = 11,995.44

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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.