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Finding the Fourth Proportional to 28,372.44, 42,561.48 and 10,857

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Solution

The fourth proportional to 28,372.44, 42,561.48 and 10,857 is: 16,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,372.44 : 42,561.48 = 10,857 : x
  2. Step 2: Convert to fraction form
    28,372.44/42,561.48 = 10,857/x
  3. Step 3: Cross multiply
    28,372.44x = 42,561.48 × 10,857
  4. Step 4: Simplify right side
    28,372.44x = 462,089,988.36
  5. Step 5: Solve for x
    x = 462,089,988.36/28,372.44
  6. Step 6: Final answer
    x = 16,286.58

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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.