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Finding the Fourth Proportional to 17,072.62, 25,607.56 and 5,827

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Solution

The fourth proportional to 17,072.62, 25,607.56 and 5,827 is: 8,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.62 : 25,607.56 = 5,827 : x
  2. Step 2: Convert to fraction form
    17,072.62/25,607.56 = 5,827/x
  3. Step 3: Cross multiply
    17,072.62x = 25,607.56 × 5,827
  4. Step 4: Simplify right side
    17,072.62x = 149,215,252.12
  5. Step 5: Solve for x
    x = 149,215,252.12/17,072.62
  6. Step 6: Final answer
    x = 8,740.03

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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.