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Finding the Fourth Proportional to 21,893.09, 30,184.79 and 14,327.42

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Solution

The fourth proportional to 21,893.09, 30,184.79 and 14,327.42 is: 19,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.09 : 30,184.79 = 14,327.42 : x
  2. Step 2: Convert to fraction form
    21,893.09/30,184.79 = 14,327.42/x
  3. Step 3: Cross multiply
    21,893.09x = 30,184.79 × 14,327.42
  4. Step 4: Simplify right side
    21,893.09x = 432,469,941.38
  5. Step 5: Solve for x
    x = 432,469,941.38/21,893.09
  6. Step 6: Final answer
    x = 19,753.72

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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.