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Finding the Fourth Proportional to 27,812, 41,719.02 and 14,299.55

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Solution

The fourth proportional to 27,812, 41,719.02 and 14,299.55 is: 21,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812 : 41,719.02 = 14,299.55 : x
  2. Step 2: Convert to fraction form
    27,812/41,719.02 = 14,299.55/x
  3. Step 3: Cross multiply
    27,812x = 41,719.02 × 14,299.55
  4. Step 4: Simplify right side
    27,812x = 596,563,212.44
  5. Step 5: Solve for x
    x = 596,563,212.44/27,812
  6. Step 6: Final answer
    x = 21,449.85

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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.