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Finding the Fourth Proportional to 11,618.64, 17,422.49 and 4,217.87

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Solution

The fourth proportional to 11,618.64, 17,422.49 and 4,217.87 is: 6,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.64 : 17,422.49 = 4,217.87 : x
  2. Step 2: Convert to fraction form
    11,618.64/17,422.49 = 4,217.87/x
  3. Step 3: Cross multiply
    11,618.64x = 17,422.49 × 4,217.87
  4. Step 4: Simplify right side
    11,618.64x = 73,485,852.00
  5. Step 5: Solve for x
    x = 73,485,852.00/11,618.64
  6. Step 6: Final answer
    x = 6,324.82

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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.