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Finding the Fourth Proportional to 20,509.39, 28,305.08 and 12,556.90

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Solution

The fourth proportional to 20,509.39, 28,305.08 and 12,556.90 is: 17,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.39 : 28,305.08 = 12,556.90 : x
  2. Step 2: Convert to fraction form
    20,509.39/28,305.08 = 12,556.90/x
  3. Step 3: Cross multiply
    20,509.39x = 28,305.08 × 12,556.90
  4. Step 4: Simplify right side
    20,509.39x = 355,424,059.05
  5. Step 5: Solve for x
    x = 355,424,059.05/20,509.39
  6. Step 6: Final answer
    x = 17,329.82

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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.