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Finding the Fourth Proportional to 12,294.40, 16,963.20 and 11,219.20

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Solution

The fourth proportional to 12,294.40, 16,963.20 and 11,219.20 is: 15,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.40 : 16,963.20 = 11,219.20 : x
  2. Step 2: Convert to fraction form
    12,294.40/16,963.20 = 11,219.20/x
  3. Step 3: Cross multiply
    12,294.40x = 16,963.20 × 11,219.20
  4. Step 4: Simplify right side
    12,294.40x = 190,313,533.44
  5. Step 5: Solve for x
    x = 190,313,533.44/12,294.40
  6. Step 6: Final answer
    x = 15,479.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.