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Finding the Fourth Proportional to 21,884.38, 30,182.61 and 13,912.90

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Solution

The fourth proportional to 21,884.38, 30,182.61 and 13,912.90 is: 19,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.38 : 30,182.61 = 13,912.90 : x
  2. Step 2: Convert to fraction form
    21,884.38/30,182.61 = 13,912.90/x
  3. Step 3: Cross multiply
    21,884.38x = 30,182.61 × 13,912.90
  4. Step 4: Simplify right side
    21,884.38x = 419,927,634.67
  5. Step 5: Solve for x
    x = 419,927,634.67/21,884.38
  6. Step 6: Final answer
    x = 19,188.46

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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.