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Finding the Fourth Proportional to 20,587.96, 30,881.94 and 11,825.38

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Solution

The fourth proportional to 20,587.96, 30,881.94 and 11,825.38 is: 17,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.96 : 30,881.94 = 11,825.38 : x
  2. Step 2: Convert to fraction form
    20,587.96/30,881.94 = 11,825.38/x
  3. Step 3: Cross multiply
    20,587.96x = 30,881.94 × 11,825.38
  4. Step 4: Simplify right side
    20,587.96x = 365,190,675.64
  5. Step 5: Solve for x
    x = 365,190,675.64/20,587.96
  6. Step 6: Final answer
    x = 17,738.07

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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.