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Finding the Fourth Proportional to 20,002.85, 27,604.16 and 11,050.16

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Solution

The fourth proportional to 20,002.85, 27,604.16 and 11,050.16 is: 15,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.85 : 27,604.16 = 11,050.16 : x
  2. Step 2: Convert to fraction form
    20,002.85/27,604.16 = 11,050.16/x
  3. Step 3: Cross multiply
    20,002.85x = 27,604.16 × 11,050.16
  4. Step 4: Simplify right side
    20,002.85x = 305,030,191.39
  5. Step 5: Solve for x
    x = 305,030,191.39/20,002.85
  6. Step 6: Final answer
    x = 15,249.34

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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.