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Finding the Fourth Proportional to 22,606.16, 31,198.20 and 13,172.72

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Solution

The fourth proportional to 22,606.16, 31,198.20 and 13,172.72 is: 18,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.16 : 31,198.20 = 13,172.72 : x
  2. Step 2: Convert to fraction form
    22,606.16/31,198.20 = 13,172.72/x
  3. Step 3: Cross multiply
    22,606.16x = 31,198.20 × 13,172.72
  4. Step 4: Simplify right side
    22,606.16x = 410,965,153.10
  5. Step 5: Solve for x
    x = 410,965,153.10/22,606.16
  6. Step 6: Final answer
    x = 18,179.34

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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.