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Finding the Fourth Proportional to 21,400.38, 29,532.33 and 11,969.01

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Solution

The fourth proportional to 21,400.38, 29,532.33 and 11,969.01 is: 16,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.38 : 29,532.33 = 11,969.01 : x
  2. Step 2: Convert to fraction form
    21,400.38/29,532.33 = 11,969.01/x
  3. Step 3: Cross multiply
    21,400.38x = 29,532.33 × 11,969.01
  4. Step 4: Simplify right side
    21,400.38x = 353,472,753.09
  5. Step 5: Solve for x
    x = 353,472,753.09/21,400.38
  6. Step 6: Final answer
    x = 16,517.13

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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.