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Finding the Fourth Proportional to 22,563.06, 31,138.02 and 12,491.42

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Solution

The fourth proportional to 22,563.06, 31,138.02 and 12,491.42 is: 17,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.06 : 31,138.02 = 12,491.42 : x
  2. Step 2: Convert to fraction form
    22,563.06/31,138.02 = 12,491.42/x
  3. Step 3: Cross multiply
    22,563.06x = 31,138.02 × 12,491.42
  4. Step 4: Simplify right side
    22,563.06x = 388,957,930.10
  5. Step 5: Solve for x
    x = 388,957,930.10/22,563.06
  6. Step 6: Final answer
    x = 17,238.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.