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Finding the Fourth Proportional to 12,638.31, 17,437.36 and 8,162.25

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Solution

The fourth proportional to 12,638.31, 17,437.36 and 8,162.25 is: 11,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.31 : 17,437.36 = 8,162.25 : x
  2. Step 2: Convert to fraction form
    12,638.31/17,437.36 = 8,162.25/x
  3. Step 3: Cross multiply
    12,638.31x = 17,437.36 × 8,162.25
  4. Step 4: Simplify right side
    12,638.31x = 142,328,091.66
  5. Step 5: Solve for x
    x = 142,328,091.66/12,638.31
  6. Step 6: Final answer
    x = 11,261.64

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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.