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Finding the Fourth Proportional to 12,649.95, 18,986.54 and 6,414.30

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Solution

The fourth proportional to 12,649.95, 18,986.54 and 6,414.30 is: 9,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.95 : 18,986.54 = 6,414.30 : x
  2. Step 2: Convert to fraction form
    12,649.95/18,986.54 = 6,414.30/x
  3. Step 3: Cross multiply
    12,649.95x = 18,986.54 × 6,414.30
  4. Step 4: Simplify right side
    12,649.95x = 121,785,331.45
  5. Step 5: Solve for x
    x = 121,785,331.45/12,649.95
  6. Step 6: Final answer
    x = 9,627.34

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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.