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Finding the Fourth Proportional to 13,754.22, 20,614.31 and 7,836.06

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Solution

The fourth proportional to 13,754.22, 20,614.31 and 7,836.06 is: 11,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.22 : 20,614.31 = 7,836.06 : x
  2. Step 2: Convert to fraction form
    13,754.22/20,614.31 = 7,836.06/x
  3. Step 3: Cross multiply
    13,754.22x = 20,614.31 × 7,836.06
  4. Step 4: Simplify right side
    13,754.22x = 161,534,970.02
  5. Step 5: Solve for x
    x = 161,534,970.02/13,754.22
  6. Step 6: Final answer
    x = 11,744.39

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Why These Related Problems?

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