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Finding the Fourth Proportional to 11,617.70, 17,428.84 and 4,222.40

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Solution

The fourth proportional to 11,617.70, 17,428.84 and 4,222.40 is: 6,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.70 : 17,428.84 = 4,222.40 : x
  2. Step 2: Convert to fraction form
    11,617.70/17,428.84 = 4,222.40/x
  3. Step 3: Cross multiply
    11,617.70x = 17,428.84 × 4,222.40
  4. Step 4: Simplify right side
    11,617.70x = 73,591,534.02
  5. Step 5: Solve for x
    x = 73,591,534.02/11,617.70
  6. Step 6: Final answer
    x = 6,334.43

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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.