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Finding the Fourth Proportional to 12,197.49, 18,296.28 and 2,963.49

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Solution

The fourth proportional to 12,197.49, 18,296.28 and 2,963.49 is: 4,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.49 : 18,296.28 = 2,963.49 : x
  2. Step 2: Convert to fraction form
    12,197.49/18,296.28 = 2,963.49/x
  3. Step 3: Cross multiply
    12,197.49x = 18,296.28 × 2,963.49
  4. Step 4: Simplify right side
    12,197.49x = 54,220,842.82
  5. Step 5: Solve for x
    x = 54,220,842.82/12,197.49
  6. Step 6: Final answer
    x = 4,445.25

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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.