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Finding the Fourth Proportional to 27,296.91, 40,869.33 and 13,940.99

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Solution

The fourth proportional to 27,296.91, 40,869.33 and 13,940.99 is: 20,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.91 : 40,869.33 = 13,940.99 : x
  2. Step 2: Convert to fraction form
    27,296.91/40,869.33 = 13,940.99/x
  3. Step 3: Cross multiply
    27,296.91x = 40,869.33 × 13,940.99
  4. Step 4: Simplify right side
    27,296.91x = 569,758,820.15
  5. Step 5: Solve for x
    x = 569,758,820.15/27,296.91
  6. Step 6: Final answer
    x = 20,872.65

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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.