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Finding the Fourth Proportional to 12,145.38, 18,219.78 and 5,121

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Solution

The fourth proportional to 12,145.38, 18,219.78 and 5,121 is: 7,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.38 : 18,219.78 = 5,121 : x
  2. Step 2: Convert to fraction form
    12,145.38/18,219.78 = 5,121/x
  3. Step 3: Cross multiply
    12,145.38x = 18,219.78 × 5,121
  4. Step 4: Simplify right side
    12,145.38x = 93,303,493.38
  5. Step 5: Solve for x
    x = 93,303,493.38/12,145.38
  6. Step 6: Final answer
    x = 7,682.22

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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.