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Finding the Fourth Proportional to 27,842.96, 38,422.60 and 15,095.44

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Solution

The fourth proportional to 27,842.96, 38,422.60 and 15,095.44 is: 20,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.96 : 38,422.60 = 15,095.44 : x
  2. Step 2: Convert to fraction form
    27,842.96/38,422.60 = 15,095.44/x
  3. Step 3: Cross multiply
    27,842.96x = 38,422.60 × 15,095.44
  4. Step 4: Simplify right side
    27,842.96x = 580,006,052.94
  5. Step 5: Solve for x
    x = 580,006,052.94/27,842.96
  6. Step 6: Final answer
    x = 20,831.34

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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.