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Finding the Fourth Proportional to 11,686.94, 17,447.15 and 11,276.86

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Solution

The fourth proportional to 11,686.94, 17,447.15 and 11,276.86 is: 16,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.94 : 17,447.15 = 11,276.86 : x
  2. Step 2: Convert to fraction form
    11,686.94/17,447.15 = 11,276.86/x
  3. Step 3: Cross multiply
    11,686.94x = 17,447.15 × 11,276.86
  4. Step 4: Simplify right side
    11,686.94x = 196,749,067.95
  5. Step 5: Solve for x
    x = 196,749,067.95/11,686.94
  6. Step 6: Final answer
    x = 16,834.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.