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Finding the Fourth Proportional to 18,836.80, 25,996.48 and 10,456

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Solution

The fourth proportional to 18,836.80, 25,996.48 and 10,456 is: 14,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,836.80 : 25,996.48 = 10,456 : x
  2. Step 2: Convert to fraction form
    18,836.80/25,996.48 = 10,456/x
  3. Step 3: Cross multiply
    18,836.80x = 25,996.48 × 10,456
  4. Step 4: Simplify right side
    18,836.80x = 271,819,194.88
  5. Step 5: Solve for x
    x = 271,819,194.88/18,836.80
  6. Step 6: Final answer
    x = 14,430.22

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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.