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Finding the Fourth Proportional to 27,672.24, 38,186.36 and 15,096.24

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Solution

The fourth proportional to 27,672.24, 38,186.36 and 15,096.24 is: 20,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.24 : 38,186.36 = 15,096.24 : x
  2. Step 2: Convert to fraction form
    27,672.24/38,186.36 = 15,096.24/x
  3. Step 3: Cross multiply
    27,672.24x = 38,186.36 × 15,096.24
  4. Step 4: Simplify right side
    27,672.24x = 576,470,455.29
  5. Step 5: Solve for x
    x = 576,470,455.29/27,672.24
  6. Step 6: Final answer
    x = 20,832.08

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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.