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Finding the Fourth Proportional to 12,766.20, 19,101.18 and 11,471.28

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Solution

The fourth proportional to 12,766.20, 19,101.18 and 11,471.28 is: 17,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.20 : 19,101.18 = 11,471.28 : x
  2. Step 2: Convert to fraction form
    12,766.20/19,101.18 = 11,471.28/x
  3. Step 3: Cross multiply
    12,766.20x = 19,101.18 × 11,471.28
  4. Step 4: Simplify right side
    12,766.20x = 219,114,984.11
  5. Step 5: Solve for x
    x = 219,114,984.11/12,766.20
  6. Step 6: Final answer
    x = 17,163.68

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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.