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Finding the Fourth Proportional to 18,805.46, 25,892.34 and 14,314.82

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Solution

The fourth proportional to 18,805.46, 25,892.34 and 14,314.82 is: 19,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,805.46 : 25,892.34 = 14,314.82 : x
  2. Step 2: Convert to fraction form
    18,805.46/25,892.34 = 14,314.82/x
  3. Step 3: Cross multiply
    18,805.46x = 25,892.34 × 14,314.82
  4. Step 4: Simplify right side
    18,805.46x = 370,644,186.48
  5. Step 5: Solve for x
    x = 370,644,186.48/18,805.46
  6. Step 6: Final answer
    x = 19,709.39

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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.