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Finding the Fourth Proportional to 20,141.87, 27,783.27 and 12,969.38

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Solution

The fourth proportional to 20,141.87, 27,783.27 and 12,969.38 is: 17,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.87 : 27,783.27 = 12,969.38 : x
  2. Step 2: Convert to fraction form
    20,141.87/27,783.27 = 12,969.38/x
  3. Step 3: Cross multiply
    20,141.87x = 27,783.27 × 12,969.38
  4. Step 4: Simplify right side
    20,141.87x = 360,331,855.73
  5. Step 5: Solve for x
    x = 360,331,855.73/20,141.87
  6. Step 6: Final answer
    x = 17,889.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.