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Finding the Fourth Proportional to 27,673.47, 38,189.34 and 15,098.22

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Solution

The fourth proportional to 27,673.47, 38,189.34 and 15,098.22 is: 20,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.47 : 38,189.34 = 15,098.22 : x
  2. Step 2: Convert to fraction form
    27,673.47/38,189.34 = 15,098.22/x
  3. Step 3: Cross multiply
    27,673.47x = 38,189.34 × 15,098.22
  4. Step 4: Simplify right side
    27,673.47x = 576,591,056.97
  5. Step 5: Solve for x
    x = 576,591,056.97/27,673.47
  6. Step 6: Final answer
    x = 20,835.52

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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.