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Finding the Fourth Proportional to 12,650.09, 18,986.70 and 6,414.40

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Solution

The fourth proportional to 12,650.09, 18,986.70 and 6,414.40 is: 9,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.09 : 18,986.70 = 6,414.40 : x
  2. Step 2: Convert to fraction form
    12,650.09/18,986.70 = 6,414.40/x
  3. Step 3: Cross multiply
    12,650.09x = 18,986.70 × 6,414.40
  4. Step 4: Simplify right side
    12,650.09x = 121,788,336.27
  5. Step 5: Solve for x
    x = 121,788,336.27/12,650.09
  6. Step 6: Final answer
    x = 9,627.47

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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.