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Finding the Fourth Proportional to 27,842.72, 38,422.68 and 15,267.44

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Solution

The fourth proportional to 27,842.72, 38,422.68 and 15,267.44 is: 21,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.72 : 38,422.68 = 15,267.44 : x
  2. Step 2: Convert to fraction form
    27,842.72/38,422.68 = 15,267.44/x
  3. Step 3: Cross multiply
    27,842.72x = 38,422.68 × 15,267.44
  4. Step 4: Simplify right side
    27,842.72x = 586,615,961.54
  5. Step 5: Solve for x
    x = 586,615,961.54/27,842.72
  6. Step 6: Final answer
    x = 21,068.92

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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.