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Finding the Fourth Proportional to 20,357.36, 28,077.36 and 13,640.84

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Solution

The fourth proportional to 20,357.36, 28,077.36 and 13,640.84 is: 18,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.36 : 28,077.36 = 13,640.84 : x
  2. Step 2: Convert to fraction form
    20,357.36/28,077.36 = 13,640.84/x
  3. Step 3: Cross multiply
    20,357.36x = 28,077.36 × 13,640.84
  4. Step 4: Simplify right side
    20,357.36x = 382,998,775.38
  5. Step 5: Solve for x
    x = 382,998,775.38/20,357.36
  6. Step 6: Final answer
    x = 18,813.77

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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.