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Finding the Fourth Proportional to 12,266.86, 16,933.35 and 8,293.36

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Solution

The fourth proportional to 12,266.86, 16,933.35 and 8,293.36 is: 11,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.86 : 16,933.35 = 8,293.36 : x
  2. Step 2: Convert to fraction form
    12,266.86/16,933.35 = 8,293.36/x
  3. Step 3: Cross multiply
    12,266.86x = 16,933.35 × 8,293.36
  4. Step 4: Simplify right side
    12,266.86x = 140,434,326.09
  5. Step 5: Solve for x
    x = 140,434,326.09/12,266.86
  6. Step 6: Final answer
    x = 11,448.27

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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.