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Finding the Fourth Proportional to 27,856.29, 38,444.31 and 15,917.31

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Solution

The fourth proportional to 27,856.29, 38,444.31 and 15,917.31 is: 21,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.29 : 38,444.31 = 15,917.31 : x
  2. Step 2: Convert to fraction form
    27,856.29/38,444.31 = 15,917.31/x
  3. Step 3: Cross multiply
    27,856.29x = 38,444.31 × 15,917.31
  4. Step 4: Simplify right side
    27,856.29x = 611,930,000.01
  5. Step 5: Solve for x
    x = 611,930,000.01/27,856.29
  6. Step 6: Final answer
    x = 21,967.39

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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.