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Finding the Fourth Proportional to 16,000.52, 22,074.92 and 9,282.44

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Solution

The fourth proportional to 16,000.52, 22,074.92 and 9,282.44 is: 12,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.52 : 22,074.92 = 9,282.44 : x
  2. Step 2: Convert to fraction form
    16,000.52/22,074.92 = 9,282.44/x
  3. Step 3: Cross multiply
    16,000.52x = 22,074.92 × 9,282.44
  4. Step 4: Simplify right side
    16,000.52x = 204,909,120.40
  5. Step 5: Solve for x
    x = 204,909,120.40/16,000.52
  6. Step 6: Final answer
    x = 12,806.40

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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.