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Finding the Fourth Proportional to 14,591.76, 20,138.54 and 8,219.58

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Solution

The fourth proportional to 14,591.76, 20,138.54 and 8,219.58 is: 11,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.76 : 20,138.54 = 8,219.58 : x
  2. Step 2: Convert to fraction form
    14,591.76/20,138.54 = 8,219.58/x
  3. Step 3: Cross multiply
    14,591.76x = 20,138.54 × 8,219.58
  4. Step 4: Simplify right side
    14,591.76x = 165,530,299.52
  5. Step 5: Solve for x
    x = 165,530,299.52/14,591.76
  6. Step 6: Final answer
    x = 11,344.09

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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.