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Finding the Fourth Proportional to 20,497.28, 30,722.88 and 10,116.32

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Solution

The fourth proportional to 20,497.28, 30,722.88 and 10,116.32 is: 15,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.28 : 30,722.88 = 10,116.32 : x
  2. Step 2: Convert to fraction form
    20,497.28/30,722.88 = 10,116.32/x
  3. Step 3: Cross multiply
    20,497.28x = 30,722.88 × 10,116.32
  4. Step 4: Simplify right side
    20,497.28x = 310,802,485.40
  5. Step 5: Solve for x
    x = 310,802,485.40/20,497.28
  6. Step 6: Final answer
    x = 15,163.11

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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.