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Finding the Fourth Proportional to 20,129.88, 27,769.58 and 14,164.84

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Solution

The fourth proportional to 20,129.88, 27,769.58 and 14,164.84 is: 19,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.88 : 27,769.58 = 14,164.84 : x
  2. Step 2: Convert to fraction form
    20,129.88/27,769.58 = 14,164.84/x
  3. Step 3: Cross multiply
    20,129.88x = 27,769.58 × 14,164.84
  4. Step 4: Simplify right side
    20,129.88x = 393,351,657.57
  5. Step 5: Solve for x
    x = 393,351,657.57/20,129.88
  6. Step 6: Final answer
    x = 19,540.69

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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.