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Finding the Fourth Proportional to 27,671.39, 38,186.94 and 15,096.14

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Solution

The fourth proportional to 27,671.39, 38,186.94 and 15,096.14 is: 20,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.39 : 38,186.94 = 15,096.14 : x
  2. Step 2: Convert to fraction form
    27,671.39/38,186.94 = 15,096.14/x
  3. Step 3: Cross multiply
    27,671.39x = 38,186.94 × 15,096.14
  4. Step 4: Simplify right side
    27,671.39x = 576,475,296.94
  5. Step 5: Solve for x
    x = 576,475,296.94/27,671.39
  6. Step 6: Final answer
    x = 20,832.90

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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.