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Finding the Fourth Proportional to 21,874.86, 30,186.27 and 13,489.74

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Solution

The fourth proportional to 21,874.86, 30,186.27 and 13,489.74 is: 18,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.86 : 30,186.27 = 13,489.74 : x
  2. Step 2: Convert to fraction form
    21,874.86/30,186.27 = 13,489.74/x
  3. Step 3: Cross multiply
    21,874.86x = 30,186.27 × 13,489.74
  4. Step 4: Simplify right side
    21,874.86x = 407,204,933.87
  5. Step 5: Solve for x
    x = 407,204,933.87/21,874.86
  6. Step 6: Final answer
    x = 18,615.20

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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.