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Finding the Fourth Proportional to 14,726, 20,321.88 and 8,102

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Solution

The fourth proportional to 14,726, 20,321.88 and 8,102 is: 11,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726 : 20,321.88 = 8,102 : x
  2. Step 2: Convert to fraction form
    14,726/20,321.88 = 8,102/x
  3. Step 3: Cross multiply
    14,726x = 20,321.88 × 8,102
  4. Step 4: Simplify right side
    14,726x = 164,647,871.76
  5. Step 5: Solve for x
    x = 164,647,871.76/14,726
  6. Step 6: Final answer
    x = 11,180.76

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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.