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Finding the Fourth Proportional to 13,527, 20,291.42 and 4,166.44

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Solution

The fourth proportional to 13,527, 20,291.42 and 4,166.44 is: 6,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 20,291.42 = 4,166.44 : x
  2. Step 2: Convert to fraction form
    13,527/20,291.42 = 4,166.44/x
  3. Step 3: Cross multiply
    13,527x = 20,291.42 × 4,166.44
  4. Step 4: Simplify right side
    13,527x = 84,542,983.94
  5. Step 5: Solve for x
    x = 84,542,983.94/13,527
  6. Step 6: Final answer
    x = 6,249.94

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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.