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Finding the Fourth Proportional to 27,369.28, 41,043.84 and 9,834.40

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Solution

The fourth proportional to 27,369.28, 41,043.84 and 9,834.40 is: 14,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.28 : 41,043.84 = 9,834.40 : x
  2. Step 2: Convert to fraction form
    27,369.28/41,043.84 = 9,834.40/x
  3. Step 3: Cross multiply
    27,369.28x = 41,043.84 × 9,834.40
  4. Step 4: Simplify right side
    27,369.28x = 403,641,540.10
  5. Step 5: Solve for x
    x = 403,641,540.10/27,369.28
  6. Step 6: Final answer
    x = 14,747.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.