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Finding the Fourth Proportional to 20,422.30, 30,619.03 and 7,931.92

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Solution

The fourth proportional to 20,422.30, 30,619.03 and 7,931.92 is: 11,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.30 : 30,619.03 = 7,931.92 : x
  2. Step 2: Convert to fraction form
    20,422.30/30,619.03 = 7,931.92/x
  3. Step 3: Cross multiply
    20,422.30x = 30,619.03 × 7,931.92
  4. Step 4: Simplify right side
    20,422.30x = 242,867,696.44
  5. Step 5: Solve for x
    x = 242,867,696.44/20,422.30
  6. Step 6: Final answer
    x = 11,892.28

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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.