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Finding the Fourth Proportional to 12,147.87, 18,225 and 3,828.16

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Solution

The fourth proportional to 12,147.87, 18,225 and 3,828.16 is: 5,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.87 : 18,225 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    12,147.87/18,225 = 3,828.16/x
  3. Step 3: Cross multiply
    12,147.87x = 18,225 × 3,828.16
  4. Step 4: Simplify right side
    12,147.87x = 69,768,238.78
  5. Step 5: Solve for x
    x = 69,768,238.78/12,147.87
  6. Step 6: Final answer
    x = 5,743.25

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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.