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Finding the Fourth Proportional to 21,367.85, 29,493.38 and 12,294.26

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Solution

The fourth proportional to 21,367.85, 29,493.38 and 12,294.26 is: 16,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.85 : 29,493.38 = 12,294.26 : x
  2. Step 2: Convert to fraction form
    21,367.85/29,493.38 = 12,294.26/x
  3. Step 3: Cross multiply
    21,367.85x = 29,493.38 × 12,294.26
  4. Step 4: Simplify right side
    21,367.85x = 362,599,073.06
  5. Step 5: Solve for x
    x = 362,599,073.06/21,367.85
  6. Step 6: Final answer
    x = 16,969.38

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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.