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Finding the Fourth Proportional to 14,974.36, 22,461.72 and 7,181.44

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Solution

The fourth proportional to 14,974.36, 22,461.72 and 7,181.44 is: 10,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.36 : 22,461.72 = 7,181.44 : x
  2. Step 2: Convert to fraction form
    14,974.36/22,461.72 = 7,181.44/x
  3. Step 3: Cross multiply
    14,974.36x = 22,461.72 × 7,181.44
  4. Step 4: Simplify right side
    14,974.36x = 161,307,494.48
  5. Step 5: Solve for x
    x = 161,307,494.48/14,974.36
  6. Step 6: Final answer
    x = 10,772.25

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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.