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Finding the Fourth Proportional to 20,181.83, 30,268.53 and 7,699.05

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Solution

The fourth proportional to 20,181.83, 30,268.53 and 7,699.05 is: 11,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.83 : 30,268.53 = 7,699.05 : x
  2. Step 2: Convert to fraction form
    20,181.83/30,268.53 = 7,699.05/x
  3. Step 3: Cross multiply
    20,181.83x = 30,268.53 × 7,699.05
  4. Step 4: Simplify right side
    20,181.83x = 233,038,925.90
  5. Step 5: Solve for x
    x = 233,038,925.90/20,181.83
  6. Step 6: Final answer
    x = 11,546.97

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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.