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Finding the Fourth Proportional to 12,255.36, 18,344.16 and 8,782.08

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Solution

The fourth proportional to 12,255.36, 18,344.16 and 8,782.08 is: 13,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.36 : 18,344.16 = 8,782.08 : x
  2. Step 2: Convert to fraction form
    12,255.36/18,344.16 = 8,782.08/x
  3. Step 3: Cross multiply
    12,255.36x = 18,344.16 × 8,782.08
  4. Step 4: Simplify right side
    12,255.36x = 161,099,880.65
  5. Step 5: Solve for x
    x = 161,099,880.65/12,255.36
  6. Step 6: Final answer
    x = 13,145.26

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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.