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Finding the Fourth Proportional to 13,650.14, 20,478.45 and 7,079.42

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Solution

The fourth proportional to 13,650.14, 20,478.45 and 7,079.42 is: 10,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.14 : 20,478.45 = 7,079.42 : x
  2. Step 2: Convert to fraction form
    13,650.14/20,478.45 = 7,079.42/x
  3. Step 3: Cross multiply
    13,650.14x = 20,478.45 × 7,079.42
  4. Step 4: Simplify right side
    13,650.14x = 144,975,548.50
  5. Step 5: Solve for x
    x = 144,975,548.50/13,650.14
  6. Step 6: Final answer
    x = 10,620.81

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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.