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Finding the Fourth Proportional to 20,190.34, 27,858 and 12,230.83

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Solution

The fourth proportional to 20,190.34, 27,858 and 12,230.83 is: 16,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190.34 : 27,858 = 12,230.83 : x
  2. Step 2: Convert to fraction form
    20,190.34/27,858 = 12,230.83/x
  3. Step 3: Cross multiply
    20,190.34x = 27,858 × 12,230.83
  4. Step 4: Simplify right side
    20,190.34x = 340,726,462.14
  5. Step 5: Solve for x
    x = 340,726,462.14/20,190.34
  6. Step 6: Final answer
    x = 16,875.72

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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.