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Finding the Fourth Proportional to 13,735.50, 20,595.96 and 6,336.16

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Solution

The fourth proportional to 13,735.50, 20,595.96 and 6,336.16 is: 9,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.50 : 20,595.96 = 6,336.16 : x
  2. Step 2: Convert to fraction form
    13,735.50/20,595.96 = 6,336.16/x
  3. Step 3: Cross multiply
    13,735.50x = 20,595.96 × 6,336.16
  4. Step 4: Simplify right side
    13,735.50x = 130,499,297.91
  5. Step 5: Solve for x
    x = 130,499,297.91/13,735.50
  6. Step 6: Final answer
    x = 9,500.88

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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.