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Finding the Fourth Proportional to 18,821.76, 28,221.57 and 7,135.80

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Solution

The fourth proportional to 18,821.76, 28,221.57 and 7,135.80 is: 10,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.76 : 28,221.57 = 7,135.80 : x
  2. Step 2: Convert to fraction form
    18,821.76/28,221.57 = 7,135.80/x
  3. Step 3: Cross multiply
    18,821.76x = 28,221.57 × 7,135.80
  4. Step 4: Simplify right side
    18,821.76x = 201,383,479.21
  5. Step 5: Solve for x
    x = 201,383,479.21/18,821.76
  6. Step 6: Final answer
    x = 10,699.50

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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.