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Finding the Fourth Proportional to 11,922.70, 17,893.50 and 6,304.36

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Solution

The fourth proportional to 11,922.70, 17,893.50 and 6,304.36 is: 9,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.70 : 17,893.50 = 6,304.36 : x
  2. Step 2: Convert to fraction form
    11,922.70/17,893.50 = 6,304.36/x
  3. Step 3: Cross multiply
    11,922.70x = 17,893.50 × 6,304.36
  4. Step 4: Simplify right side
    11,922.70x = 112,807,065.66
  5. Step 5: Solve for x
    x = 112,807,065.66/11,922.70
  6. Step 6: Final answer
    x = 9,461.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.