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Finding the Fourth Proportional to 20,261.80, 27,960.55 and 12,712.20

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Solution

The fourth proportional to 20,261.80, 27,960.55 and 12,712.20 is: 17,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.80 : 27,960.55 = 12,712.20 : x
  2. Step 2: Convert to fraction form
    20,261.80/27,960.55 = 12,712.20/x
  3. Step 3: Cross multiply
    20,261.80x = 27,960.55 × 12,712.20
  4. Step 4: Simplify right side
    20,261.80x = 355,440,103.71
  5. Step 5: Solve for x
    x = 355,440,103.71/20,261.80
  6. Step 6: Final answer
    x = 17,542.38

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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.