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Finding the Fourth Proportional to 20,381.22, 30,565.44 and 7,900.38

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Solution

The fourth proportional to 20,381.22, 30,565.44 and 7,900.38 is: 11,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.22 : 30,565.44 = 7,900.38 : x
  2. Step 2: Convert to fraction form
    20,381.22/30,565.44 = 7,900.38/x
  3. Step 3: Cross multiply
    20,381.22x = 30,565.44 × 7,900.38
  4. Step 4: Simplify right side
    20,381.22x = 241,478,590.87
  5. Step 5: Solve for x
    x = 241,478,590.87/20,381.22
  6. Step 6: Final answer
    x = 11,848.09

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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.