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Finding the Fourth Proportional to 13,892.50, 20,838.75 and 3,504.25

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Solution

The fourth proportional to 13,892.50, 20,838.75 and 3,504.25 is: 5,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.50 : 20,838.75 = 3,504.25 : x
  2. Step 2: Convert to fraction form
    13,892.50/20,838.75 = 3,504.25/x
  3. Step 3: Cross multiply
    13,892.50x = 20,838.75 × 3,504.25
  4. Step 4: Simplify right side
    13,892.50x = 73,024,189.69
  5. Step 5: Solve for x
    x = 73,024,189.69/13,892.50
  6. Step 6: Final answer
    x = 5,256.38

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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.