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Finding the Fourth Proportional to 16,198.04, 24,297.42 and 7,427

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Solution

The fourth proportional to 16,198.04, 24,297.42 and 7,427 is: 11,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.04 : 24,297.42 = 7,427 : x
  2. Step 2: Convert to fraction form
    16,198.04/24,297.42 = 7,427/x
  3. Step 3: Cross multiply
    16,198.04x = 24,297.42 × 7,427
  4. Step 4: Simplify right side
    16,198.04x = 180,456,938.34
  5. Step 5: Solve for x
    x = 180,456,938.34/16,198.04
  6. Step 6: Final answer
    x = 11,140.67

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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.