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Finding the Fourth Proportional to 27,183.56, 40,709.66 and 15,461.24

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Solution

The fourth proportional to 27,183.56, 40,709.66 and 15,461.24 is: 23,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.56 : 40,709.66 = 15,461.24 : x
  2. Step 2: Convert to fraction form
    27,183.56/40,709.66 = 15,461.24/x
  3. Step 3: Cross multiply
    27,183.56x = 40,709.66 × 15,461.24
  4. Step 4: Simplify right side
    27,183.56x = 629,421,823.58
  5. Step 5: Solve for x
    x = 629,421,823.58/27,183.56
  6. Step 6: Final answer
    x = 23,154.50

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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.