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Finding the Fourth Proportional to 13,694.52, 20,536.92 and 4,927.08

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Solution

The fourth proportional to 13,694.52, 20,536.92 and 4,927.08 is: 7,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.52 : 20,536.92 = 4,927.08 : x
  2. Step 2: Convert to fraction form
    13,694.52/20,536.92 = 4,927.08/x
  3. Step 3: Cross multiply
    13,694.52x = 20,536.92 × 4,927.08
  4. Step 4: Simplify right side
    13,694.52x = 101,187,047.79
  5. Step 5: Solve for x
    x = 101,187,047.79/13,694.52
  6. Step 6: Final answer
    x = 7,388.87

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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.