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Finding the Fourth Proportional to 26,182.46, 36,131.94 and 14,245.88

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Solution

The fourth proportional to 26,182.46, 36,131.94 and 14,245.88 is: 19,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182.46 : 36,131.94 = 14,245.88 : x
  2. Step 2: Convert to fraction form
    26,182.46/36,131.94 = 14,245.88/x
  3. Step 3: Cross multiply
    26,182.46x = 36,131.94 × 14,245.88
  4. Step 4: Simplify right side
    26,182.46x = 514,731,100.75
  5. Step 5: Solve for x
    x = 514,731,100.75/26,182.46
  6. Step 6: Final answer
    x = 19,659.39

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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.