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Finding the Fourth Proportional to 18,924.98, 28,389.02 and 7,829.60

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Solution

The fourth proportional to 18,924.98, 28,389.02 and 7,829.60 is: 11,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924.98 : 28,389.02 = 7,829.60 : x
  2. Step 2: Convert to fraction form
    18,924.98/28,389.02 = 7,829.60/x
  3. Step 3: Cross multiply
    18,924.98x = 28,389.02 × 7,829.60
  4. Step 4: Simplify right side
    18,924.98x = 222,274,489.90
  5. Step 5: Solve for x
    x = 222,274,489.90/18,924.98
  6. Step 6: Final answer
    x = 11,745.03

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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.