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Finding the Fourth Proportional to 27,834.67, 38,411.01 and 16,349.38

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Solution

The fourth proportional to 27,834.67, 38,411.01 and 16,349.38 is: 22,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.67 : 38,411.01 = 16,349.38 : x
  2. Step 2: Convert to fraction form
    27,834.67/38,411.01 = 16,349.38/x
  3. Step 3: Cross multiply
    27,834.67x = 38,411.01 × 16,349.38
  4. Step 4: Simplify right side
    27,834.67x = 627,996,198.67
  5. Step 5: Solve for x
    x = 627,996,198.67/27,834.67
  6. Step 6: Final answer
    x = 22,561.65

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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.