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Finding the Fourth Proportional to 27,591, 41,334.44 and 16,312.68

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Solution

The fourth proportional to 27,591, 41,334.44 and 16,312.68 is: 24,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591 : 41,334.44 = 16,312.68 : x
  2. Step 2: Convert to fraction form
    27,591/41,334.44 = 16,312.68/x
  3. Step 3: Cross multiply
    27,591x = 41,334.44 × 16,312.68
  4. Step 4: Simplify right side
    27,591x = 674,275,492.70
  5. Step 5: Solve for x
    x = 674,275,492.70/27,591
  6. Step 6: Final answer
    x = 24,438.24

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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.