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Finding the Fourth Proportional to 21,400.61, 29,532.87 and 11,969.10

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Solution

The fourth proportional to 21,400.61, 29,532.87 and 11,969.10 is: 16,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.61 : 29,532.87 = 11,969.10 : x
  2. Step 2: Convert to fraction form
    21,400.61/29,532.87 = 11,969.10/x
  3. Step 3: Cross multiply
    21,400.61x = 29,532.87 × 11,969.10
  4. Step 4: Simplify right side
    21,400.61x = 353,481,874.32
  5. Step 5: Solve for x
    x = 353,481,874.32/21,400.61
  6. Step 6: Final answer
    x = 16,517.38

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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.