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Finding the Fourth Proportional to 20,147.18, 30,220.74 and 7,664.24

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Solution

The fourth proportional to 20,147.18, 30,220.74 and 7,664.24 is: 11,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.18 : 30,220.74 = 7,664.24 : x
  2. Step 2: Convert to fraction form
    20,147.18/30,220.74 = 7,664.24/x
  3. Step 3: Cross multiply
    20,147.18x = 30,220.74 × 7,664.24
  4. Step 4: Simplify right side
    20,147.18x = 231,619,004.34
  5. Step 5: Solve for x
    x = 231,619,004.34/20,147.18
  6. Step 6: Final answer
    x = 11,496.35

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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.