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Finding the Fourth Proportional to 16,138.81, 22,273.46 and 9,065.20

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Solution

The fourth proportional to 16,138.81, 22,273.46 and 9,065.20 is: 12,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.81 : 22,273.46 = 9,065.20 : x
  2. Step 2: Convert to fraction form
    16,138.81/22,273.46 = 9,065.20/x
  3. Step 3: Cross multiply
    16,138.81x = 22,273.46 × 9,065.20
  4. Step 4: Simplify right side
    16,138.81x = 201,913,369.59
  5. Step 5: Solve for x
    x = 201,913,369.59/16,138.81
  6. Step 6: Final answer
    x = 12,511.04

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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.