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Finding the Fourth Proportional to 13,630.14, 20,408.73 and 8,003.17

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Solution

The fourth proportional to 13,630.14, 20,408.73 and 8,003.17 is: 11,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.14 : 20,408.73 = 8,003.17 : x
  2. Step 2: Convert to fraction form
    13,630.14/20,408.73 = 8,003.17/x
  3. Step 3: Cross multiply
    13,630.14x = 20,408.73 × 8,003.17
  4. Step 4: Simplify right side
    13,630.14x = 163,334,512.60
  5. Step 5: Solve for x
    x = 163,334,512.60/13,630.14
  6. Step 6: Final answer
    x = 11,983.34

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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.