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Finding the Fourth Proportional to 12,300.20, 16,969.17 and 7,826.42

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Solution

The fourth proportional to 12,300.20, 16,969.17 and 7,826.42 is: 10,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.20 : 16,969.17 = 7,826.42 : x
  2. Step 2: Convert to fraction form
    12,300.20/16,969.17 = 7,826.42/x
  3. Step 3: Cross multiply
    12,300.20x = 16,969.17 × 7,826.42
  4. Step 4: Simplify right side
    12,300.20x = 132,807,851.47
  5. Step 5: Solve for x
    x = 132,807,851.47/12,300.20
  6. Step 6: Final answer
    x = 10,797.21

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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.