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Finding the Fourth Proportional to 20,219.94, 27,874.58 and 14,233.01

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Solution

The fourth proportional to 20,219.94, 27,874.58 and 14,233.01 is: 19,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.94 : 27,874.58 = 14,233.01 : x
  2. Step 2: Convert to fraction form
    20,219.94/27,874.58 = 14,233.01/x
  3. Step 3: Cross multiply
    20,219.94x = 27,874.58 × 14,233.01
  4. Step 4: Simplify right side
    20,219.94x = 396,738,965.35
  5. Step 5: Solve for x
    x = 396,738,965.35/20,219.94
  6. Step 6: Final answer
    x = 19,621.17

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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.