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Finding the Fourth Proportional to 27,672, 38,188.17 and 15,097.56

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Solution

The fourth proportional to 27,672, 38,188.17 and 15,097.56 is: 20,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 38,188.17 = 15,097.56 : x
  2. Step 2: Convert to fraction form
    27,672/38,188.17 = 15,097.56/x
  3. Step 3: Cross multiply
    27,672x = 38,188.17 × 15,097.56
  4. Step 4: Simplify right side
    27,672x = 576,548,187.87
  5. Step 5: Solve for x
    x = 576,548,187.87/27,672
  6. Step 6: Final answer
    x = 20,835.07

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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.