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Finding the Fourth Proportional to 26,645.68, 36,770.88 and 14,709.76

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Solution

The fourth proportional to 26,645.68, 36,770.88 and 14,709.76 is: 20,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,645.68 : 36,770.88 = 14,709.76 : x
  2. Step 2: Convert to fraction form
    26,645.68/36,770.88 = 14,709.76/x
  3. Step 3: Cross multiply
    26,645.68x = 36,770.88 × 14,709.76
  4. Step 4: Simplify right side
    26,645.68x = 540,890,819.79
  5. Step 5: Solve for x
    x = 540,890,819.79/26,645.68
  6. Step 6: Final answer
    x = 20,299.38

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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.