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Finding the Fourth Proportional to 20,594.59, 30,896.61 and 7,446.96

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Solution

The fourth proportional to 20,594.59, 30,896.61 and 7,446.96 is: 11,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.59 : 30,896.61 = 7,446.96 : x
  2. Step 2: Convert to fraction form
    20,594.59/30,896.61 = 7,446.96/x
  3. Step 3: Cross multiply
    20,594.59x = 30,896.61 × 7,446.96
  4. Step 4: Simplify right side
    20,594.59x = 230,085,940.61
  5. Step 5: Solve for x
    x = 230,085,940.61/20,594.59
  6. Step 6: Final answer
    x = 11,172.15

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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.