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Finding the Fourth Proportional to 20,594.75, 30,892.25 and 7,447.10

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Solution

The fourth proportional to 20,594.75, 30,892.25 and 7,447.10 is: 11,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.75 : 30,892.25 = 7,447.10 : x
  2. Step 2: Convert to fraction form
    20,594.75/30,892.25 = 7,447.10/x
  3. Step 3: Cross multiply
    20,594.75x = 30,892.25 × 7,447.10
  4. Step 4: Simplify right side
    20,594.75x = 230,057,539.13
  5. Step 5: Solve for x
    x = 230,057,539.13/20,594.75
  6. Step 6: Final answer
    x = 11,170.69

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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.