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Finding the Fourth Proportional to 27,113.69, 40,671.98 and 8,406.65

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Solution

The fourth proportional to 27,113.69, 40,671.98 and 8,406.65 is: 12,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.69 : 40,671.98 = 8,406.65 : x
  2. Step 2: Convert to fraction form
    27,113.69/40,671.98 = 8,406.65/x
  3. Step 3: Cross multiply
    27,113.69x = 40,671.98 × 8,406.65
  4. Step 4: Simplify right side
    27,113.69x = 341,914,855.27
  5. Step 5: Solve for x
    x = 341,914,855.27/27,113.69
  6. Step 6: Final answer
    x = 12,610.42

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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.