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Finding the Fourth Proportional to 20,125.75, 27,774.75 and 12,169.93

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Solution

The fourth proportional to 20,125.75, 27,774.75 and 12,169.93 is: 16,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.75 : 27,774.75 = 12,169.93 : x
  2. Step 2: Convert to fraction form
    20,125.75/27,774.75 = 12,169.93/x
  3. Step 3: Cross multiply
    20,125.75x = 27,774.75 × 12,169.93
  4. Step 4: Simplify right side
    20,125.75x = 338,016,763.27
  5. Step 5: Solve for x
    x = 338,016,763.27/20,125.75
  6. Step 6: Final answer
    x = 16,795.24

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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.