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Finding the Fourth Proportional to 20,499.38, 30,758.00 and 7,181.93

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Solution

The fourth proportional to 20,499.38, 30,758.00 and 7,181.93 is: 10,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.38 : 30,758.00 = 7,181.93 : x
  2. Step 2: Convert to fraction form
    20,499.38/30,758.00 = 7,181.93/x
  3. Step 3: Cross multiply
    20,499.38x = 30,758.00 × 7,181.93
  4. Step 4: Simplify right side
    20,499.38x = 220,901,640.17
  5. Step 5: Solve for x
    x = 220,901,640.17/20,499.38
  6. Step 6: Final answer
    x = 10,776.02

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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.