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Finding the Fourth Proportional to 27,834.23, 38,412.23 and 19,895.42

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Solution

The fourth proportional to 27,834.23, 38,412.23 and 19,895.42 is: 27,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.23 : 38,412.23 = 19,895.42 : x
  2. Step 2: Convert to fraction form
    27,834.23/38,412.23 = 19,895.42/x
  3. Step 3: Cross multiply
    27,834.23x = 38,412.23 × 19,895.42
  4. Step 4: Simplify right side
    27,834.23x = 764,227,445.54
  5. Step 5: Solve for x
    x = 764,227,445.54/27,834.23
  6. Step 6: Final answer
    x = 27,456.39

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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.