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Finding the Fourth Proportional to 12,782.64, 19,164.60 and 8,612.22

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Solution

The fourth proportional to 12,782.64, 19,164.60 and 8,612.22 is: 12,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.64 : 19,164.60 = 8,612.22 : x
  2. Step 2: Convert to fraction form
    12,782.64/19,164.60 = 8,612.22/x
  3. Step 3: Cross multiply
    12,782.64x = 19,164.60 × 8,612.22
  4. Step 4: Simplify right side
    12,782.64x = 165,049,751.41
  5. Step 5: Solve for x
    x = 165,049,751.41/12,782.64
  6. Step 6: Final answer
    x = 12,912.02

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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.