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Finding the Fourth Proportional to 20,242.28, 27,937.74 and 12,289.80

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Solution

The fourth proportional to 20,242.28, 27,937.74 and 12,289.80 is: 16,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.28 : 27,937.74 = 12,289.80 : x
  2. Step 2: Convert to fraction form
    20,242.28/27,937.74 = 12,289.80/x
  3. Step 3: Cross multiply
    20,242.28x = 27,937.74 × 12,289.80
  4. Step 4: Simplify right side
    20,242.28x = 343,349,237.05
  5. Step 5: Solve for x
    x = 343,349,237.05/20,242.28
  6. Step 6: Final answer
    x = 16,961.98

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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.