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Finding the Fourth Proportional to 19,491.44, 29,195.04 and 10,238

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Solution

The fourth proportional to 19,491.44, 29,195.04 and 10,238 is: 15,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.44 : 29,195.04 = 10,238 : x
  2. Step 2: Convert to fraction form
    19,491.44/29,195.04 = 10,238/x
  3. Step 3: Cross multiply
    19,491.44x = 29,195.04 × 10,238
  4. Step 4: Simplify right side
    19,491.44x = 298,898,819.52
  5. Step 5: Solve for x
    x = 298,898,819.52/19,491.44
  6. Step 6: Final answer
    x = 15,334.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.