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Finding the Fourth Proportional to 14,481.28, 19,984.52 and 8,194

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Solution

The fourth proportional to 14,481.28, 19,984.52 and 8,194 is: 11,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.28 : 19,984.52 = 8,194 : x
  2. Step 2: Convert to fraction form
    14,481.28/19,984.52 = 8,194/x
  3. Step 3: Cross multiply
    14,481.28x = 19,984.52 × 8,194
  4. Step 4: Simplify right side
    14,481.28x = 163,753,156.88
  5. Step 5: Solve for x
    x = 163,753,156.88/14,481.28
  6. Step 6: Final answer
    x = 11,307.92

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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.