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Finding the Fourth Proportional to 27,930.96, 38,546.28 and 15,358.32

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Solution

The fourth proportional to 27,930.96, 38,546.28 and 15,358.32 is: 21,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.96 : 38,546.28 = 15,358.32 : x
  2. Step 2: Convert to fraction form
    27,930.96/38,546.28 = 15,358.32/x
  3. Step 3: Cross multiply
    27,930.96x = 38,546.28 × 15,358.32
  4. Step 4: Simplify right side
    27,930.96x = 592,006,103.05
  5. Step 5: Solve for x
    x = 592,006,103.05/27,930.96
  6. Step 6: Final answer
    x = 21,195.34

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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.