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Finding the Fourth Proportional to 27,672.54, 38,188.05 and 15,097.29

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Solution

The fourth proportional to 27,672.54, 38,188.05 and 15,097.29 is: 20,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.54 : 38,188.05 = 15,097.29 : x
  2. Step 2: Convert to fraction form
    27,672.54/38,188.05 = 15,097.29/x
  3. Step 3: Cross multiply
    27,672.54x = 38,188.05 × 15,097.29
  4. Step 4: Simplify right side
    27,672.54x = 576,536,065.38
  5. Step 5: Solve for x
    x = 576,536,065.38/27,672.54
  6. Step 6: Final answer
    x = 20,834.23

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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.