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Finding the Fourth Proportional to 12,797.80, 19,196.70 and 10,205.80

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Solution

The fourth proportional to 12,797.80, 19,196.70 and 10,205.80 is: 15,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.80 : 19,196.70 = 10,205.80 : x
  2. Step 2: Convert to fraction form
    12,797.80/19,196.70 = 10,205.80/x
  3. Step 3: Cross multiply
    12,797.80x = 19,196.70 × 10,205.80
  4. Step 4: Simplify right side
    12,797.80x = 195,917,680.86
  5. Step 5: Solve for x
    x = 195,917,680.86/12,797.80
  6. Step 6: Final answer
    x = 15,308.70

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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.