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Finding the Fourth Proportional to 20,186.83, 30,279.03 and 7,534.14

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Solution

The fourth proportional to 20,186.83, 30,279.03 and 7,534.14 is: 11,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.83 : 30,279.03 = 7,534.14 : x
  2. Step 2: Convert to fraction form
    20,186.83/30,279.03 = 7,534.14/x
  3. Step 3: Cross multiply
    20,186.83x = 30,279.03 × 7,534.14
  4. Step 4: Simplify right side
    20,186.83x = 228,126,451.08
  5. Step 5: Solve for x
    x = 228,126,451.08/20,186.83
  6. Step 6: Final answer
    x = 11,300.76

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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.