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Finding the Fourth Proportional to 20,192, 27,867.60 and 12,237.20

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Solution

The fourth proportional to 20,192, 27,867.60 and 12,237.20 is: 16,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 27,867.60 = 12,237.20 : x
  2. Step 2: Convert to fraction form
    20,192/27,867.60 = 12,237.20/x
  3. Step 3: Cross multiply
    20,192x = 27,867.60 × 12,237.20
  4. Step 4: Simplify right side
    20,192x = 341,021,394.72
  5. Step 5: Solve for x
    x = 341,021,394.72/20,192
  6. Step 6: Final answer
    x = 16,888.94

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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.