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Finding the Fourth Proportional to 12,588.96, 17,369.36 and 8,109.04

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Solution

The fourth proportional to 12,588.96, 17,369.36 and 8,109.04 is: 11,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.96 : 17,369.36 = 8,109.04 : x
  2. Step 2: Convert to fraction form
    12,588.96/17,369.36 = 8,109.04/x
  3. Step 3: Cross multiply
    12,588.96x = 17,369.36 × 8,109.04
  4. Step 4: Simplify right side
    12,588.96x = 140,848,835.01
  5. Step 5: Solve for x
    x = 140,848,835.01/12,588.96
  6. Step 6: Final answer
    x = 11,188.28

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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.