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Finding the Fourth Proportional to 13,672.42, 20,508.64 and 9,784.42

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Solution

The fourth proportional to 13,672.42, 20,508.64 and 9,784.42 is: 14,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.42 : 20,508.64 = 9,784.42 : x
  2. Step 2: Convert to fraction form
    13,672.42/20,508.64 = 9,784.42/x
  3. Step 3: Cross multiply
    13,672.42x = 20,508.64 × 9,784.42
  4. Step 4: Simplify right side
    13,672.42x = 200,665,147.39
  5. Step 5: Solve for x
    x = 200,665,147.39/13,672.42
  6. Step 6: Final answer
    x = 14,676.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.