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Finding the Fourth Proportional to 20,165.60, 27,829.04 and 12,203.21

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Solution

The fourth proportional to 20,165.60, 27,829.04 and 12,203.21 is: 16,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.60 : 27,829.04 = 12,203.21 : x
  2. Step 2: Convert to fraction form
    20,165.60/27,829.04 = 12,203.21/x
  3. Step 3: Cross multiply
    20,165.60x = 27,829.04 × 12,203.21
  4. Step 4: Simplify right side
    20,165.60x = 339,603,419.06
  5. Step 5: Solve for x
    x = 339,603,419.06/20,165.60
  6. Step 6: Final answer
    x = 16,840.73

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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.