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Finding the Fourth Proportional to 13,536.50, 20,300.42 and 4,300.34

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Solution

The fourth proportional to 13,536.50, 20,300.42 and 4,300.34 is: 6,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.50 : 20,300.42 = 4,300.34 : x
  2. Step 2: Convert to fraction form
    13,536.50/20,300.42 = 4,300.34/x
  3. Step 3: Cross multiply
    13,536.50x = 20,300.42 × 4,300.34
  4. Step 4: Simplify right side
    13,536.50x = 87,298,708.14
  5. Step 5: Solve for x
    x = 87,298,708.14/13,536.50
  6. Step 6: Final answer
    x = 6,449.13

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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.