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Finding the Fourth Proportional to 21,394.43, 29,532.16 and 12,896.85

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Solution

The fourth proportional to 21,394.43, 29,532.16 and 12,896.85 is: 17,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.43 : 29,532.16 = 12,896.85 : x
  2. Step 2: Convert to fraction form
    21,394.43/29,532.16 = 12,896.85/x
  3. Step 3: Cross multiply
    21,394.43x = 29,532.16 × 12,896.85
  4. Step 4: Simplify right side
    21,394.43x = 380,871,964.56
  5. Step 5: Solve for x
    x = 380,871,964.56/21,394.43
  6. Step 6: Final answer
    x = 17,802.39

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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.