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Finding the Fourth Proportional to 16,000.38, 22,080.49 and 9,289.94

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Solution

The fourth proportional to 16,000.38, 22,080.49 and 9,289.94 is: 12,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.38 : 22,080.49 = 9,289.94 : x
  2. Step 2: Convert to fraction form
    16,000.38/22,080.49 = 9,289.94/x
  3. Step 3: Cross multiply
    16,000.38x = 22,080.49 × 9,289.94
  4. Step 4: Simplify right side
    16,000.38x = 205,126,428.70
  5. Step 5: Solve for x
    x = 205,126,428.70/16,000.38
  6. Step 6: Final answer
    x = 12,820.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.