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Finding the Fourth Proportional to 20,186.76, 30,279 and 6,146.48

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Solution

The fourth proportional to 20,186.76, 30,279 and 6,146.48 is: 9,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.76 : 30,279 = 6,146.48 : x
  2. Step 2: Convert to fraction form
    20,186.76/30,279 = 6,146.48/x
  3. Step 3: Cross multiply
    20,186.76x = 30,279 × 6,146.48
  4. Step 4: Simplify right side
    20,186.76x = 186,109,267.92
  5. Step 5: Solve for x
    x = 186,109,267.92/20,186.76
  6. Step 6: Final answer
    x = 9,219.37

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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.