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Finding the Fourth Proportional to 27,542.55, 38,020.34 and 18,602.16

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Solution

The fourth proportional to 27,542.55, 38,020.34 and 18,602.16 is: 25,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.55 : 38,020.34 = 18,602.16 : x
  2. Step 2: Convert to fraction form
    27,542.55/38,020.34 = 18,602.16/x
  3. Step 3: Cross multiply
    27,542.55x = 38,020.34 × 18,602.16
  4. Step 4: Simplify right side
    27,542.55x = 707,260,494.44
  5. Step 5: Solve for x
    x = 707,260,494.44/27,542.55
  6. Step 6: Final answer
    x = 25,678.83

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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.