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Finding the Fourth Proportional to 20,092.86, 27,728.12 and 12,133.60

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Solution

The fourth proportional to 20,092.86, 27,728.12 and 12,133.60 is: 16,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.86 : 27,728.12 = 12,133.60 : x
  2. Step 2: Convert to fraction form
    20,092.86/27,728.12 = 12,133.60/x
  3. Step 3: Cross multiply
    20,092.86x = 27,728.12 × 12,133.60
  4. Step 4: Simplify right side
    20,092.86x = 336,441,877.85
  5. Step 5: Solve for x
    x = 336,441,877.85/20,092.86
  6. Step 6: Final answer
    x = 16,744.35

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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.