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Finding the Fourth Proportional to 14,682.44, 20,256 and 8,391.44

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Solution

The fourth proportional to 14,682.44, 20,256 and 8,391.44 is: 11,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.44 : 20,256 = 8,391.44 : x
  2. Step 2: Convert to fraction form
    14,682.44/20,256 = 8,391.44/x
  3. Step 3: Cross multiply
    14,682.44x = 20,256 × 8,391.44
  4. Step 4: Simplify right side
    14,682.44x = 169,977,008.64
  5. Step 5: Solve for x
    x = 169,977,008.64/14,682.44
  6. Step 6: Final answer
    x = 11,576.89

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1.5x scale

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.