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Finding the Fourth Proportional to 14,191.16, 19,577.92 and 8,447.44

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Solution

The fourth proportional to 14,191.16, 19,577.92 and 8,447.44 is: 11,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.16 : 19,577.92 = 8,447.44 : x
  2. Step 2: Convert to fraction form
    14,191.16/19,577.92 = 8,447.44/x
  3. Step 3: Cross multiply
    14,191.16x = 19,577.92 × 8,447.44
  4. Step 4: Simplify right side
    14,191.16x = 165,383,304.52
  5. Step 5: Solve for x
    x = 165,383,304.52/14,191.16
  6. Step 6: Final answer
    x = 11,653.97

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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.