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Finding the Fourth Proportional to 13,868.82, 20,797.76 and 8,029.53

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Solution

The fourth proportional to 13,868.82, 20,797.76 and 8,029.53 is: 12,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.82 : 20,797.76 = 8,029.53 : x
  2. Step 2: Convert to fraction form
    13,868.82/20,797.76 = 8,029.53/x
  3. Step 3: Cross multiply
    13,868.82x = 20,797.76 × 8,029.53
  4. Step 4: Simplify right side
    13,868.82x = 166,996,257.93
  5. Step 5: Solve for x
    x = 166,996,257.93/13,868.82
  6. Step 6: Final answer
    x = 12,041.13

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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.