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Finding the Fourth Proportional to 14,542.44, 21,824.52 and 5,659.17

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Solution

The fourth proportional to 14,542.44, 21,824.52 and 5,659.17 is: 8,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.44 : 21,824.52 = 5,659.17 : x
  2. Step 2: Convert to fraction form
    14,542.44/21,824.52 = 5,659.17/x
  3. Step 3: Cross multiply
    14,542.44x = 21,824.52 × 5,659.17
  4. Step 4: Simplify right side
    14,542.44x = 123,508,668.85
  5. Step 5: Solve for x
    x = 123,508,668.85/14,542.44
  6. Step 6: Final answer
    x = 8,492.98

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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.