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Finding the Fourth Proportional to 13,672.44, 20,508.68 and 7,824.92

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Solution

The fourth proportional to 13,672.44, 20,508.68 and 7,824.92 is: 11,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.44 : 20,508.68 = 7,824.92 : x
  2. Step 2: Convert to fraction form
    13,672.44/20,508.68 = 7,824.92/x
  3. Step 3: Cross multiply
    13,672.44x = 20,508.68 × 7,824.92
  4. Step 4: Simplify right side
    13,672.44x = 160,478,780.31
  5. Step 5: Solve for x
    x = 160,478,780.31/13,672.44
  6. Step 6: Final answer
    x = 11,737.39

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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.