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Finding the Fourth Proportional to 24,212.25, 36,319.75 and 8,629.88

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Solution

The fourth proportional to 24,212.25, 36,319.75 and 8,629.88 is: 12,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.25 : 36,319.75 = 8,629.88 : x
  2. Step 2: Convert to fraction form
    24,212.25/36,319.75 = 8,629.88/x
  3. Step 3: Cross multiply
    24,212.25x = 36,319.75 × 8,629.88
  4. Step 4: Simplify right side
    24,212.25x = 313,434,880.96
  5. Step 5: Solve for x
    x = 313,434,880.96/24,212.25
  6. Step 6: Final answer
    x = 12,945.30

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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.