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Finding the Fourth Proportional to 20,762.38, 28,636.23 and 13,209.94

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Solution

The fourth proportional to 20,762.38, 28,636.23 and 13,209.94 is: 18,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.38 : 28,636.23 = 13,209.94 : x
  2. Step 2: Convert to fraction form
    20,762.38/28,636.23 = 13,209.94/x
  3. Step 3: Cross multiply
    20,762.38x = 28,636.23 × 13,209.94
  4. Step 4: Simplify right side
    20,762.38x = 378,282,880.13
  5. Step 5: Solve for x
    x = 378,282,880.13/20,762.38
  6. Step 6: Final answer
    x = 18,219.63

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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.