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Finding the Fourth Proportional to 20,760.84, 31,141.08 and 5,969.70

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Solution

The fourth proportional to 20,760.84, 31,141.08 and 5,969.70 is: 8,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.84 : 31,141.08 = 5,969.70 : x
  2. Step 2: Convert to fraction form
    20,760.84/31,141.08 = 5,969.70/x
  3. Step 3: Cross multiply
    20,760.84x = 31,141.08 × 5,969.70
  4. Step 4: Simplify right side
    20,760.84x = 185,902,905.28
  5. Step 5: Solve for x
    x = 185,902,905.28/20,760.84
  6. Step 6: Final answer
    x = 8,954.50

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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.