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Finding the Fourth Proportional to 16,709.10, 25,076.25 and 11,431.50

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Solution

The fourth proportional to 16,709.10, 25,076.25 and 11,431.50 is: 17,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.10 : 25,076.25 = 11,431.50 : x
  2. Step 2: Convert to fraction form
    16,709.10/25,076.25 = 11,431.50/x
  3. Step 3: Cross multiply
    16,709.10x = 25,076.25 × 11,431.50
  4. Step 4: Simplify right side
    16,709.10x = 286,659,151.88
  5. Step 5: Solve for x
    x = 286,659,151.88/16,709.10
  6. Step 6: Final answer
    x = 17,155.87

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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.