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Finding the Fourth Proportional to 16,141.12, 22,242 and 11,656.96

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Solution

The fourth proportional to 16,141.12, 22,242 and 11,656.96 is: 16,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.12 : 22,242 = 11,656.96 : x
  2. Step 2: Convert to fraction form
    16,141.12/22,242 = 11,656.96/x
  3. Step 3: Cross multiply
    16,141.12x = 22,242 × 11,656.96
  4. Step 4: Simplify right side
    16,141.12x = 259,274,104.32
  5. Step 5: Solve for x
    x = 259,274,104.32/16,141.12
  6. Step 6: Final answer
    x = 16,062.96

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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.