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Finding the Fourth Proportional to 11,615.70, 17,425.84 and 4,220.40

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Solution

The fourth proportional to 11,615.70, 17,425.84 and 4,220.40 is: 6,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.70 : 17,425.84 = 4,220.40 : x
  2. Step 2: Convert to fraction form
    11,615.70/17,425.84 = 4,220.40/x
  3. Step 3: Cross multiply
    11,615.70x = 17,425.84 × 4,220.40
  4. Step 4: Simplify right side
    11,615.70x = 73,544,015.14
  5. Step 5: Solve for x
    x = 73,544,015.14/11,615.70
  6. Step 6: Final answer
    x = 6,331.43

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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.