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Finding the Fourth Proportional to 26,209, 39,313.50 and 7,742.44

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Solution

The fourth proportional to 26,209, 39,313.50 and 7,742.44 is: 11,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,209 : 39,313.50 = 7,742.44 : x
  2. Step 2: Convert to fraction form
    26,209/39,313.50 = 7,742.44/x
  3. Step 3: Cross multiply
    26,209x = 39,313.50 × 7,742.44
  4. Step 4: Simplify right side
    26,209x = 304,382,414.94
  5. Step 5: Solve for x
    x = 304,382,414.94/26,209
  6. Step 6: Final answer
    x = 11,613.66

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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.