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Finding the Fourth Proportional to 12,650.56, 18,987.50 and 6,414.94

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Solution

The fourth proportional to 12,650.56, 18,987.50 and 6,414.94 is: 9,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.56 : 18,987.50 = 6,414.94 : x
  2. Step 2: Convert to fraction form
    12,650.56/18,987.50 = 6,414.94/x
  3. Step 3: Cross multiply
    12,650.56x = 18,987.50 × 6,414.94
  4. Step 4: Simplify right side
    12,650.56x = 121,803,673.25
  5. Step 5: Solve for x
    x = 121,803,673.25/12,650.56
  6. Step 6: Final answer
    x = 9,628.32

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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.