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Finding the Fourth Proportional to 21,168.28, 31,724.56 and 11,812.70

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Solution

The fourth proportional to 21,168.28, 31,724.56 and 11,812.70 is: 17,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168.28 : 31,724.56 = 11,812.70 : x
  2. Step 2: Convert to fraction form
    21,168.28/31,724.56 = 11,812.70/x
  3. Step 3: Cross multiply
    21,168.28x = 31,724.56 × 11,812.70
  4. Step 4: Simplify right side
    21,168.28x = 374,752,709.91
  5. Step 5: Solve for x
    x = 374,752,709.91/21,168.28
  6. Step 6: Final answer
    x = 17,703.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.