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Finding the Fourth Proportional to 12,951.99, 17,796.29 and 10,294.78

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Solution

The fourth proportional to 12,951.99, 17,796.29 and 10,294.78 is: 14,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.99 : 17,796.29 = 10,294.78 : x
  2. Step 2: Convert to fraction form
    12,951.99/17,796.29 = 10,294.78/x
  3. Step 3: Cross multiply
    12,951.99x = 17,796.29 × 10,294.78
  4. Step 4: Simplify right side
    12,951.99x = 183,208,890.37
  5. Step 5: Solve for x
    x = 183,208,890.37/12,951.99
  6. Step 6: Final answer
    x = 14,145.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.