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Finding the Fourth Proportional to 20,733.84, 31,104 and 7,584.48

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Solution

The fourth proportional to 20,733.84, 31,104 and 7,584.48 is: 11,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.84 : 31,104 = 7,584.48 : x
  2. Step 2: Convert to fraction form
    20,733.84/31,104 = 7,584.48/x
  3. Step 3: Cross multiply
    20,733.84x = 31,104 × 7,584.48
  4. Step 4: Simplify right side
    20,733.84x = 235,907,665.92
  5. Step 5: Solve for x
    x = 235,907,665.92/20,733.84
  6. Step 6: Final answer
    x = 11,377.91

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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.