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Finding the Fourth Proportional to 23,611.98, 35,409.45 and 7,814.09

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Solution

The fourth proportional to 23,611.98, 35,409.45 and 7,814.09 is: 11,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.98 : 35,409.45 = 7,814.09 : x
  2. Step 2: Convert to fraction form
    23,611.98/35,409.45 = 7,814.09/x
  3. Step 3: Cross multiply
    23,611.98x = 35,409.45 × 7,814.09
  4. Step 4: Simplify right side
    23,611.98x = 276,692,540.63
  5. Step 5: Solve for x
    x = 276,692,540.63/23,611.98
  6. Step 6: Final answer
    x = 11,718.31

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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.