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Finding the Fourth Proportional to 19,189.80, 27,747.45 and 19,189.80

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Solution

The fourth proportional to 19,189.80, 27,747.45 and 19,189.80 is: 27,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.80 : 27,747.45 = 19,189.80 : x
  2. Step 2: Convert to fraction form
    19,189.80/27,747.45 = 19,189.80/x
  3. Step 3: Cross multiply
    19,189.80x = 27,747.45 × 19,189.80
  4. Step 4: Simplify right side
    19,189.80x = 532,468,016.01
  5. Step 5: Solve for x
    x = 532,468,016.01/19,189.80
  6. Step 6: Final answer
    x = 27,747.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.