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Finding the Fourth Proportional to 23,422.98, 35,129.94 and 6,778.80

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Solution

The fourth proportional to 23,422.98, 35,129.94 and 6,778.80 is: 10,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.98 : 35,129.94 = 6,778.80 : x
  2. Step 2: Convert to fraction form
    23,422.98/35,129.94 = 6,778.80/x
  3. Step 3: Cross multiply
    23,422.98x = 35,129.94 × 6,778.80
  4. Step 4: Simplify right side
    23,422.98x = 238,138,837.27
  5. Step 5: Solve for x
    x = 238,138,837.27/23,422.98
  6. Step 6: Final answer
    x = 10,166.89

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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.