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Finding the Fourth Proportional to 20,122.52, 30,186.48 and 7,647.18

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Solution

The fourth proportional to 20,122.52, 30,186.48 and 7,647.18 is: 11,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.52 : 30,186.48 = 7,647.18 : x
  2. Step 2: Convert to fraction form
    20,122.52/30,186.48 = 7,647.18/x
  3. Step 3: Cross multiply
    20,122.52x = 30,186.48 × 7,647.18
  4. Step 4: Simplify right side
    20,122.52x = 230,841,446.13
  5. Step 5: Solve for x
    x = 230,841,446.13/20,122.52
  6. Step 6: Final answer
    x = 11,471.80

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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.