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Finding the Fourth Proportional to 13,885.82, 19,162.20 and 7,917.82

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Solution

The fourth proportional to 13,885.82, 19,162.20 and 7,917.82 is: 10,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.82 : 19,162.20 = 7,917.82 : x
  2. Step 2: Convert to fraction form
    13,885.82/19,162.20 = 7,917.82/x
  3. Step 3: Cross multiply
    13,885.82x = 19,162.20 × 7,917.82
  4. Step 4: Simplify right side
    13,885.82x = 151,722,850.40
  5. Step 5: Solve for x
    x = 151,722,850.40/13,885.82
  6. Step 6: Final answer
    x = 10,926.46

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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.