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Finding the Fourth Proportional to 20,497.38, 28,286.81 and 12,431.00

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Solution

The fourth proportional to 20,497.38, 28,286.81 and 12,431.00 is: 17,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.38 : 28,286.81 = 12,431.00 : x
  2. Step 2: Convert to fraction form
    20,497.38/28,286.81 = 12,431.00/x
  3. Step 3: Cross multiply
    20,497.38x = 28,286.81 × 12,431.00
  4. Step 4: Simplify right side
    20,497.38x = 351,633,131.52
  5. Step 5: Solve for x
    x = 351,633,131.52/20,497.38
  6. Step 6: Final answer
    x = 17,155.03

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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.