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Finding the Fourth Proportional to 16,000.53, 22,077.20 and 9,282.27

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Solution

The fourth proportional to 16,000.53, 22,077.20 and 9,282.27 is: 12,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.53 : 22,077.20 = 9,282.27 : x
  2. Step 2: Convert to fraction form
    16,000.53/22,077.20 = 9,282.27/x
  3. Step 3: Cross multiply
    16,000.53x = 22,077.20 × 9,282.27
  4. Step 4: Simplify right side
    16,000.53x = 204,926,555.37
  5. Step 5: Solve for x
    x = 204,926,555.37/16,000.53
  6. Step 6: Final answer
    x = 12,807.48

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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.