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Finding the Fourth Proportional to 34,157.98, 51,240.04 and 9,198.16

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Solution

The fourth proportional to 34,157.98, 51,240.04 and 9,198.16 is: 13,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.98 : 51,240.04 = 9,198.16 : x
  2. Step 2: Convert to fraction form
    34,157.98/51,240.04 = 9,198.16/x
  3. Step 3: Cross multiply
    34,157.98x = 51,240.04 × 9,198.16
  4. Step 4: Simplify right side
    34,157.98x = 471,313,986.97
  5. Step 5: Solve for x
    x = 471,313,986.97/34,157.98
  6. Step 6: Final answer
    x = 13,798.06

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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.