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Finding the Fourth Proportional to 14,586.50, 21,883.41 and 4,198.25

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Solution

The fourth proportional to 14,586.50, 21,883.41 and 4,198.25 is: 6,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.50 : 21,883.41 = 4,198.25 : x
  2. Step 2: Convert to fraction form
    14,586.50/21,883.41 = 4,198.25/x
  3. Step 3: Cross multiply
    14,586.50x = 21,883.41 × 4,198.25
  4. Step 4: Simplify right side
    14,586.50x = 91,872,026.03
  5. Step 5: Solve for x
    x = 91,872,026.03/14,586.50
  6. Step 6: Final answer
    x = 6,298.43

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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.