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Finding the Fourth Proportional to 28,532.24, 42,787.89 and 9,806.97

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Solution

The fourth proportional to 28,532.24, 42,787.89 and 9,806.97 is: 14,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,532.24 : 42,787.89 = 9,806.97 : x
  2. Step 2: Convert to fraction form
    28,532.24/42,787.89 = 9,806.97/x
  3. Step 3: Cross multiply
    28,532.24x = 42,787.89 × 9,806.97
  4. Step 4: Simplify right side
    28,532.24x = 419,619,553.59
  5. Step 5: Solve for x
    x = 419,619,553.59/28,532.24
  6. Step 6: Final answer
    x = 14,706.86

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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.