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Finding the Fourth Proportional to 20,048.54, 27,689.72 and 13,664.21

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Solution

The fourth proportional to 20,048.54, 27,689.72 and 13,664.21 is: 18,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.54 : 27,689.72 = 13,664.21 : x
  2. Step 2: Convert to fraction form
    20,048.54/27,689.72 = 13,664.21/x
  3. Step 3: Cross multiply
    20,048.54x = 27,689.72 × 13,664.21
  4. Step 4: Simplify right side
    20,048.54x = 378,357,942.15
  5. Step 5: Solve for x
    x = 378,357,942.15/20,048.54
  6. Step 6: Final answer
    x = 18,872.10

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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.