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Finding the Fourth Proportional to 20,956.16, 31,433.42 and 7,105.16

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Solution

The fourth proportional to 20,956.16, 31,433.42 and 7,105.16 is: 10,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.16 : 31,433.42 = 7,105.16 : x
  2. Step 2: Convert to fraction form
    20,956.16/31,433.42 = 7,105.16/x
  3. Step 3: Cross multiply
    20,956.16x = 31,433.42 × 7,105.16
  4. Step 4: Simplify right side
    20,956.16x = 223,339,285.75
  5. Step 5: Solve for x
    x = 223,339,285.75/20,956.16
  6. Step 6: Final answer
    x = 10,657.46

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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.