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Finding the Fourth Proportional to 13,504.50, 20,232.14 and 9,955.41

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Solution

The fourth proportional to 13,504.50, 20,232.14 and 9,955.41 is: 14,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.50 : 20,232.14 = 9,955.41 : x
  2. Step 2: Convert to fraction form
    13,504.50/20,232.14 = 9,955.41/x
  3. Step 3: Cross multiply
    13,504.50x = 20,232.14 × 9,955.41
  4. Step 4: Simplify right side
    13,504.50x = 201,419,193.23
  5. Step 5: Solve for x
    x = 201,419,193.23/13,504.50
  6. Step 6: Final answer
    x = 14,914.97

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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.