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Finding the Fourth Proportional to 13,756.36, 20,634.54 and 5,965

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Solution

The fourth proportional to 13,756.36, 20,634.54 and 5,965 is: 8,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.36 : 20,634.54 = 5,965 : x
  2. Step 2: Convert to fraction form
    13,756.36/20,634.54 = 5,965/x
  3. Step 3: Cross multiply
    13,756.36x = 20,634.54 × 5,965
  4. Step 4: Simplify right side
    13,756.36x = 123,085,031.10
  5. Step 5: Solve for x
    x = 123,085,031.10/13,756.36
  6. Step 6: Final answer
    x = 8,947.50

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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.