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Finding the Fourth Proportional to 12,638.63, 17,446.91 and 8,164.55

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Solution

The fourth proportional to 12,638.63, 17,446.91 and 8,164.55 is: 11,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.63 : 17,446.91 = 8,164.55 : x
  2. Step 2: Convert to fraction form
    12,638.63/17,446.91 = 8,164.55/x
  3. Step 3: Cross multiply
    12,638.63x = 17,446.91 × 8,164.55
  4. Step 4: Simplify right side
    12,638.63x = 142,446,171.84
  5. Step 5: Solve for x
    x = 142,446,171.84/12,638.63
  6. Step 6: Final answer
    x = 11,270.69

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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.