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Finding the Fourth Proportional to 26,170.94, 36,115.64 and 14,234.38

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Solution

The fourth proportional to 26,170.94, 36,115.64 and 14,234.38 is: 19,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,170.94 : 36,115.64 = 14,234.38 : x
  2. Step 2: Convert to fraction form
    26,170.94/36,115.64 = 14,234.38/x
  3. Step 3: Cross multiply
    26,170.94x = 36,115.64 × 14,234.38
  4. Step 4: Simplify right side
    26,170.94x = 514,083,743.70
  5. Step 5: Solve for x
    x = 514,083,743.70/26,170.94
  6. Step 6: Final answer
    x = 19,643.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.