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Finding the Fourth Proportional to 12,169.50, 18,254.25 and 2,935.50

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Solution

The fourth proportional to 12,169.50, 18,254.25 and 2,935.50 is: 4,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.50 : 18,254.25 = 2,935.50 : x
  2. Step 2: Convert to fraction form
    12,169.50/18,254.25 = 2,935.50/x
  3. Step 3: Cross multiply
    12,169.50x = 18,254.25 × 2,935.50
  4. Step 4: Simplify right side
    12,169.50x = 53,585,350.88
  5. Step 5: Solve for x
    x = 53,585,350.88/12,169.50
  6. Step 6: Final answer
    x = 4,403.25

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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.