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Finding the Fourth Proportional to 20,237.86, 27,941.25 and 13,071

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Solution

The fourth proportional to 20,237.86, 27,941.25 and 13,071 is: 18,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.86 : 27,941.25 = 13,071 : x
  2. Step 2: Convert to fraction form
    20,237.86/27,941.25 = 13,071/x
  3. Step 3: Cross multiply
    20,237.86x = 27,941.25 × 13,071
  4. Step 4: Simplify right side
    20,237.86x = 365,220,078.75
  5. Step 5: Solve for x
    x = 365,220,078.75/20,237.86
  6. Step 6: Final answer
    x = 18,046.38

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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.