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Finding the Fourth Proportional to 20,426.28, 30,632.94 and 7,945.48

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Solution

The fourth proportional to 20,426.28, 30,632.94 and 7,945.48 is: 11,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.28 : 30,632.94 = 7,945.48 : x
  2. Step 2: Convert to fraction form
    20,426.28/30,632.94 = 7,945.48/x
  3. Step 3: Cross multiply
    20,426.28x = 30,632.94 × 7,945.48
  4. Step 4: Simplify right side
    20,426.28x = 243,393,412.11
  5. Step 5: Solve for x
    x = 243,393,412.11/20,426.28
  6. Step 6: Final answer
    x = 11,915.70

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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.