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Finding the Fourth Proportional to 20,956.92, 31,435.32 and 7,807.56

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Solution

The fourth proportional to 20,956.92, 31,435.32 and 7,807.56 is: 11,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.92 : 31,435.32 = 7,807.56 : x
  2. Step 2: Convert to fraction form
    20,956.92/31,435.32 = 7,807.56/x
  3. Step 3: Cross multiply
    20,956.92x = 31,435.32 × 7,807.56
  4. Step 4: Simplify right side
    20,956.92x = 245,433,147.02
  5. Step 5: Solve for x
    x = 245,433,147.02/20,956.92
  6. Step 6: Final answer
    x = 11,711.32

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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.