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Finding the Fourth Proportional to 13,890.82, 19,166.52 and 8,222.74

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Solution

The fourth proportional to 13,890.82, 19,166.52 and 8,222.74 is: 11,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890.82 : 19,166.52 = 8,222.74 : x
  2. Step 2: Convert to fraction form
    13,890.82/19,166.52 = 8,222.74/x
  3. Step 3: Cross multiply
    13,890.82x = 19,166.52 × 8,222.74
  4. Step 4: Simplify right side
    13,890.82x = 157,601,310.66
  5. Step 5: Solve for x
    x = 157,601,310.66/13,890.82
  6. Step 6: Final answer
    x = 11,345.72

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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.