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Finding the Fourth Proportional to 27,828, 38,402.73 and 15,081.39

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Solution

The fourth proportional to 27,828, 38,402.73 and 15,081.39 is: 20,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 38,402.73 = 15,081.39 : x
  2. Step 2: Convert to fraction form
    27,828/38,402.73 = 15,081.39/x
  3. Step 3: Cross multiply
    27,828x = 38,402.73 × 15,081.39
  4. Step 4: Simplify right side
    27,828x = 579,166,548.19
  5. Step 5: Solve for x
    x = 579,166,548.19/27,828
  6. Step 6: Final answer
    x = 20,812.37

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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.