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Finding the Fourth Proportional to 20,003.81, 30,023.76 and 10,651.64

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Solution

The fourth proportional to 20,003.81, 30,023.76 and 10,651.64 is: 15,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.81 : 30,023.76 = 10,651.64 : x
  2. Step 2: Convert to fraction form
    20,003.81/30,023.76 = 10,651.64/x
  3. Step 3: Cross multiply
    20,003.81x = 30,023.76 × 10,651.64
  4. Step 4: Simplify right side
    20,003.81x = 319,802,282.97
  5. Step 5: Solve for x
    x = 319,802,282.97/20,003.81
  6. Step 6: Final answer
    x = 15,987.07

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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.