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Finding the Fourth Proportional to 12,899.35, 17,794.13 and 8,292.38

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Solution

The fourth proportional to 12,899.35, 17,794.13 and 8,292.38 is: 11,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.35 : 17,794.13 = 8,292.38 : x
  2. Step 2: Convert to fraction form
    12,899.35/17,794.13 = 8,292.38/x
  3. Step 3: Cross multiply
    12,899.35x = 17,794.13 × 8,292.38
  4. Step 4: Simplify right side
    12,899.35x = 147,555,603.94
  5. Step 5: Solve for x
    x = 147,555,603.94/12,899.35
  6. Step 6: Final answer
    x = 11,438.99

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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.