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Finding the Fourth Proportional to 20,330.34, 30,477.96 and 7,859.10

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Solution

The fourth proportional to 20,330.34, 30,477.96 and 7,859.10 is: 11,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330.34 : 30,477.96 = 7,859.10 : x
  2. Step 2: Convert to fraction form
    20,330.34/30,477.96 = 7,859.10/x
  3. Step 3: Cross multiply
    20,330.34x = 30,477.96 × 7,859.10
  4. Step 4: Simplify right side
    20,330.34x = 239,529,335.44
  5. Step 5: Solve for x
    x = 239,529,335.44/20,330.34
  6. Step 6: Final answer
    x = 11,781.87

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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.