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Finding the Fourth Proportional to 12,786.80, 17,656.93 and 8,014.95

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Solution

The fourth proportional to 12,786.80, 17,656.93 and 8,014.95 is: 11,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.80 : 17,656.93 = 8,014.95 : x
  2. Step 2: Convert to fraction form
    12,786.80/17,656.93 = 8,014.95/x
  3. Step 3: Cross multiply
    12,786.80x = 17,656.93 × 8,014.95
  4. Step 4: Simplify right side
    12,786.80x = 141,519,421.12
  5. Step 5: Solve for x
    x = 141,519,421.12/12,786.80
  6. Step 6: Final answer
    x = 11,067.62

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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.