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Finding the Fourth Proportional to 20,600, 28,431.84 and 11,768

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Solution

The fourth proportional to 20,600, 28,431.84 and 11,768 is: 16,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600 : 28,431.84 = 11,768 : x
  2. Step 2: Convert to fraction form
    20,600/28,431.84 = 11,768/x
  3. Step 3: Cross multiply
    20,600x = 28,431.84 × 11,768
  4. Step 4: Simplify right side
    20,600x = 334,585,893.12
  5. Step 5: Solve for x
    x = 334,585,893.12/20,600
  6. Step 6: Final answer
    x = 16,242.03

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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.