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Finding the Fourth Proportional to 26,507.58, 39,844.02 and 16,709.82

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Solution

The fourth proportional to 26,507.58, 39,844.02 and 16,709.82 is: 25,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.58 : 39,844.02 = 16,709.82 : x
  2. Step 2: Convert to fraction form
    26,507.58/39,844.02 = 16,709.82/x
  3. Step 3: Cross multiply
    26,507.58x = 39,844.02 × 16,709.82
  4. Step 4: Simplify right side
    26,507.58x = 665,786,402.28
  5. Step 5: Solve for x
    x = 665,786,402.28/26,507.58
  6. Step 6: Final answer
    x = 25,116.83

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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.