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Finding the Fourth Proportional to 20,047.34, 27,634.56 and 15,003.92

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Solution

The fourth proportional to 20,047.34, 27,634.56 and 15,003.92 is: 20,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.34 : 27,634.56 = 15,003.92 : x
  2. Step 2: Convert to fraction form
    20,047.34/27,634.56 = 15,003.92/x
  3. Step 3: Cross multiply
    20,047.34x = 27,634.56 × 15,003.92
  4. Step 4: Simplify right side
    20,047.34x = 414,626,727.48
  5. Step 5: Solve for x
    x = 414,626,727.48/20,047.34
  6. Step 6: Final answer
    x = 20,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.