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Finding the Fourth Proportional to 20,156.32, 30,238.89 and 7,676.40

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Solution

The fourth proportional to 20,156.32, 30,238.89 and 7,676.40 is: 11,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.32 : 30,238.89 = 7,676.40 : x
  2. Step 2: Convert to fraction form
    20,156.32/30,238.89 = 7,676.40/x
  3. Step 3: Cross multiply
    20,156.32x = 30,238.89 × 7,676.40
  4. Step 4: Simplify right side
    20,156.32x = 232,125,709.43
  5. Step 5: Solve for x
    x = 232,125,709.43/20,156.32
  6. Step 6: Final answer
    x = 11,516.28

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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.