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Finding the Fourth Proportional to 12,200.49, 18,300.78 and 2,966.49

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Solution

The fourth proportional to 12,200.49, 18,300.78 and 2,966.49 is: 4,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.49 : 18,300.78 = 2,966.49 : x
  2. Step 2: Convert to fraction form
    12,200.49/18,300.78 = 2,966.49/x
  3. Step 3: Cross multiply
    12,200.49x = 18,300.78 × 2,966.49
  4. Step 4: Simplify right side
    12,200.49x = 54,289,080.86
  5. Step 5: Solve for x
    x = 54,289,080.86/12,200.49
  6. Step 6: Final answer
    x = 4,449.75

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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.