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Finding the Fourth Proportional to 12,617.50, 18,914.48 and 4,291.84

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Solution

The fourth proportional to 12,617.50, 18,914.48 and 4,291.84 is: 6,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.50 : 18,914.48 = 4,291.84 : x
  2. Step 2: Convert to fraction form
    12,617.50/18,914.48 = 4,291.84/x
  3. Step 3: Cross multiply
    12,617.50x = 18,914.48 × 4,291.84
  4. Step 4: Simplify right side
    12,617.50x = 81,177,921.84
  5. Step 5: Solve for x
    x = 81,177,921.84/12,617.50
  6. Step 6: Final answer
    x = 6,433.76

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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.