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Finding the Fourth Proportional to 13,914.63, 20,847.65 and 11,589.59

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Solution

The fourth proportional to 13,914.63, 20,847.65 and 11,589.59 is: 17,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.63 : 20,847.65 = 11,589.59 : x
  2. Step 2: Convert to fraction form
    13,914.63/20,847.65 = 11,589.59/x
  3. Step 3: Cross multiply
    13,914.63x = 20,847.65 × 11,589.59
  4. Step 4: Simplify right side
    13,914.63x = 241,615,553.78
  5. Step 5: Solve for x
    x = 241,615,553.78/13,914.63
  6. Step 6: Final answer
    x = 17,364.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.