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Finding the Fourth Proportional to 21,586.38, 29,760.48 and 16,185.84

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Solution

The fourth proportional to 21,586.38, 29,760.48 and 16,185.84 is: 22,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.38 : 29,760.48 = 16,185.84 : x
  2. Step 2: Convert to fraction form
    21,586.38/29,760.48 = 16,185.84/x
  3. Step 3: Cross multiply
    21,586.38x = 29,760.48 × 16,185.84
  4. Step 4: Simplify right side
    21,586.38x = 481,698,367.60
  5. Step 5: Solve for x
    x = 481,698,367.60/21,586.38
  6. Step 6: Final answer
    x = 22,314.92

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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.