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Finding the Fourth Proportional to 20,687.82, 28,549.41 and 11,256.39

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Solution

The fourth proportional to 20,687.82, 28,549.41 and 11,256.39 is: 15,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.82 : 28,549.41 = 11,256.39 : x
  2. Step 2: Convert to fraction form
    20,687.82/28,549.41 = 11,256.39/x
  3. Step 3: Cross multiply
    20,687.82x = 28,549.41 × 11,256.39
  4. Step 4: Simplify right side
    20,687.82x = 321,363,293.23
  5. Step 5: Solve for x
    x = 321,363,293.23/20,687.82
  6. Step 6: Final answer
    x = 15,533.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.