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Finding the Fourth Proportional to 20,102.86, 27,751.47 and 13,399.66

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Solution

The fourth proportional to 20,102.86, 27,751.47 and 13,399.66 is: 18,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.86 : 27,751.47 = 13,399.66 : x
  2. Step 2: Convert to fraction form
    20,102.86/27,751.47 = 13,399.66/x
  3. Step 3: Cross multiply
    20,102.86x = 27,751.47 × 13,399.66
  4. Step 4: Simplify right side
    20,102.86x = 371,860,262.50
  5. Step 5: Solve for x
    x = 371,860,262.50/20,102.86
  6. Step 6: Final answer
    x = 18,497.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.