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Finding the Fourth Proportional to 12,650.50, 18,975.75 and 3,416.50

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Solution

The fourth proportional to 12,650.50, 18,975.75 and 3,416.50 is: 5,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.50 : 18,975.75 = 3,416.50 : x
  2. Step 2: Convert to fraction form
    12,650.50/18,975.75 = 3,416.50/x
  3. Step 3: Cross multiply
    12,650.50x = 18,975.75 × 3,416.50
  4. Step 4: Simplify right side
    12,650.50x = 64,830,649.88
  5. Step 5: Solve for x
    x = 64,830,649.88/12,650.50
  6. Step 6: Final answer
    x = 5,124.75

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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.