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Finding the Fourth Proportional to 17,271.96, 25,907.94 and 4,791.48

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Solution

The fourth proportional to 17,271.96, 25,907.94 and 4,791.48 is: 7,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.96 : 25,907.94 = 4,791.48 : x
  2. Step 2: Convert to fraction form
    17,271.96/25,907.94 = 4,791.48/x
  3. Step 3: Cross multiply
    17,271.96x = 25,907.94 × 4,791.48
  4. Step 4: Simplify right side
    17,271.96x = 124,137,376.35
  5. Step 5: Solve for x
    x = 124,137,376.35/17,271.96
  6. Step 6: Final answer
    x = 7,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.