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Finding the Fourth Proportional to 22,563.81, 31,137.05 and 12,491.54

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Solution

The fourth proportional to 22,563.81, 31,137.05 and 12,491.54 is: 17,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.81 : 31,137.05 = 12,491.54 : x
  2. Step 2: Convert to fraction form
    22,563.81/31,137.05 = 12,491.54/x
  3. Step 3: Cross multiply
    22,563.81x = 31,137.05 × 12,491.54
  4. Step 4: Simplify right side
    22,563.81x = 388,949,643.10
  5. Step 5: Solve for x
    x = 388,949,643.10/22,563.81
  6. Step 6: Final answer
    x = 17,237.76

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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.