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Finding the Fourth Proportional to 27,296.57, 40,931.19 and 8,576.36

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Solution

The fourth proportional to 27,296.57, 40,931.19 and 8,576.36 is: 12,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.57 : 40,931.19 = 8,576.36 : x
  2. Step 2: Convert to fraction form
    27,296.57/40,931.19 = 8,576.36/x
  3. Step 3: Cross multiply
    27,296.57x = 40,931.19 × 8,576.36
  4. Step 4: Simplify right side
    27,296.57x = 351,040,569.50
  5. Step 5: Solve for x
    x = 351,040,569.50/27,296.57
  6. Step 6: Final answer
    x = 12,860.24

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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.