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Finding the Fourth Proportional to 18,422.11, 27,609.54 and 13,411.79

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Solution

The fourth proportional to 18,422.11, 27,609.54 and 13,411.79 is: 20,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.11 : 27,609.54 = 13,411.79 : x
  2. Step 2: Convert to fraction form
    18,422.11/27,609.54 = 13,411.79/x
  3. Step 3: Cross multiply
    18,422.11x = 27,609.54 × 13,411.79
  4. Step 4: Simplify right side
    18,422.11x = 370,293,352.48
  5. Step 5: Solve for x
    x = 370,293,352.48/18,422.11
  6. Step 6: Final answer
    x = 20,100.49

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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.