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Finding the Fourth Proportional to 11,992.86, 16,538.88 and 9,480.95

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Solution

The fourth proportional to 11,992.86, 16,538.88 and 9,480.95 is: 13,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.86 : 16,538.88 = 9,480.95 : x
  2. Step 2: Convert to fraction form
    11,992.86/16,538.88 = 9,480.95/x
  3. Step 3: Cross multiply
    11,992.86x = 16,538.88 × 9,480.95
  4. Step 4: Simplify right side
    11,992.86x = 156,804,309.22
  5. Step 5: Solve for x
    x = 156,804,309.22/11,992.86
  6. Step 6: Final answer
    x = 13,074.81

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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.