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Finding the Fourth Proportional to 16,228.27, 22,396.06 and 9,154.54

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Solution

The fourth proportional to 16,228.27, 22,396.06 and 9,154.54 is: 12,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.27 : 22,396.06 = 9,154.54 : x
  2. Step 2: Convert to fraction form
    16,228.27/22,396.06 = 9,154.54/x
  3. Step 3: Cross multiply
    16,228.27x = 22,396.06 × 9,154.54
  4. Step 4: Simplify right side
    16,228.27x = 205,025,627.11
  5. Step 5: Solve for x
    x = 205,025,627.11/16,228.27
  6. Step 6: Final answer
    x = 12,633.86

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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.