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Finding the Fourth Proportional to 21,805.14, 30,086.98 and 12,855.45

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Solution

The fourth proportional to 21,805.14, 30,086.98 and 12,855.45 is: 17,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.14 : 30,086.98 = 12,855.45 : x
  2. Step 2: Convert to fraction form
    21,805.14/30,086.98 = 12,855.45/x
  3. Step 3: Cross multiply
    21,805.14x = 30,086.98 × 12,855.45
  4. Step 4: Simplify right side
    21,805.14x = 386,781,667.04
  5. Step 5: Solve for x
    x = 386,781,667.04/21,805.14
  6. Step 6: Final answer
    x = 17,738.10

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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.