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Finding the Fourth Proportional to 13,525.78, 20,290.99 and 4,165.62

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Solution

The fourth proportional to 13,525.78, 20,290.99 and 4,165.62 is: 6,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.78 : 20,290.99 = 4,165.62 : x
  2. Step 2: Convert to fraction form
    13,525.78/20,290.99 = 4,165.62/x
  3. Step 3: Cross multiply
    13,525.78x = 20,290.99 × 4,165.62
  4. Step 4: Simplify right side
    13,525.78x = 84,524,553.76
  5. Step 5: Solve for x
    x = 84,524,553.76/13,525.78
  6. Step 6: Final answer
    x = 6,249.14

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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.