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Finding the Fourth Proportional to 20,960.40, 31,442.09 and 7,812.75

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Solution

The fourth proportional to 20,960.40, 31,442.09 and 7,812.75 is: 11,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.40 : 31,442.09 = 7,812.75 : x
  2. Step 2: Convert to fraction form
    20,960.40/31,442.09 = 7,812.75/x
  3. Step 3: Cross multiply
    20,960.40x = 31,442.09 × 7,812.75
  4. Step 4: Simplify right side
    20,960.40x = 245,649,149.58
  5. Step 5: Solve for x
    x = 245,649,149.58/20,960.40
  6. Step 6: Final answer
    x = 11,719.68

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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.