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Finding the Fourth Proportional to 20,201.88, 27,874.37 and 11,703.50

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Solution

The fourth proportional to 20,201.88, 27,874.37 and 11,703.50 is: 16,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.88 : 27,874.37 = 11,703.50 : x
  2. Step 2: Convert to fraction form
    20,201.88/27,874.37 = 11,703.50/x
  3. Step 3: Cross multiply
    20,201.88x = 27,874.37 × 11,703.50
  4. Step 4: Simplify right side
    20,201.88x = 326,227,683.71
  5. Step 5: Solve for x
    x = 326,227,683.71/20,201.88
  6. Step 6: Final answer
    x = 16,148.38

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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.