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Finding the Fourth Proportional to 13,986.42, 20,972.41 and 4,124.42

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Solution

The fourth proportional to 13,986.42, 20,972.41 and 4,124.42 is: 6,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.42 : 20,972.41 = 4,124.42 : x
  2. Step 2: Convert to fraction form
    13,986.42/20,972.41 = 4,124.42/x
  3. Step 3: Cross multiply
    13,986.42x = 20,972.41 × 4,124.42
  4. Step 4: Simplify right side
    13,986.42x = 86,498,922.39
  5. Step 5: Solve for x
    x = 86,498,922.39/13,986.42
  6. Step 6: Final answer
    x = 6,184.50

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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.