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Finding the Fourth Proportional to 14,566.28, 20,101.44 and 7,942.28

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Solution

The fourth proportional to 14,566.28, 20,101.44 and 7,942.28 is: 10,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.28 : 20,101.44 = 7,942.28 : x
  2. Step 2: Convert to fraction form
    14,566.28/20,101.44 = 7,942.28/x
  3. Step 3: Cross multiply
    14,566.28x = 20,101.44 × 7,942.28
  4. Step 4: Simplify right side
    14,566.28x = 159,651,264.88
  5. Step 5: Solve for x
    x = 159,651,264.88/14,566.28
  6. Step 6: Final answer
    x = 10,960.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.