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Finding the Fourth Proportional to 20,211.96, 27,892.47 and 11,259.39

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Solution

The fourth proportional to 20,211.96, 27,892.47 and 11,259.39 is: 15,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.96 : 27,892.47 = 11,259.39 : x
  2. Step 2: Convert to fraction form
    20,211.96/27,892.47 = 11,259.39/x
  3. Step 3: Cross multiply
    20,211.96x = 27,892.47 × 11,259.39
  4. Step 4: Simplify right side
    20,211.96x = 314,052,197.79
  5. Step 5: Solve for x
    x = 314,052,197.79/20,211.96
  6. Step 6: Final answer
    x = 15,537.94

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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.